\begin{thebibliography}{157}
\providecommand{\natexlab}[1]{#1}
\providecommand{\url}[1]{\texttt{#1}}
\expandafter\ifx\csname urlstyle\endcsname\relax
  \providecommand{\doi}[1]{doi: #1}\else
  \providecommand{\doi}{doi: \begingroup \urlstyle{rm}\Url}\fi

\bibitem[Adamczak(2015)]{Adamczak2015}
Rados{\l}aw Adamczak.
\newblock {A Note on the {Hanson--Wright} Inequality for Random Vectors with
  Dependencies}.
\newblock \emph{Electronic Communications in Probability}, 20\penalty0
  (72):\penalty0 1--13, 2015.
\newblock \doi{10.1214/ECP.v20-3829}.
\newblock URL \url{https://arxiv.org/abs/1409.8457}.

\bibitem[Adhikari and Cao(2025)]{AdhikariCao2025}
Arka Adhikari and Sky Cao.
\newblock Correlation decay for finite lattice gauge theories at weak coupling.
\newblock \emph{The Annals of Probability}, 53\penalty0 (1):\penalty0 140--174,
  2025.
\newblock \doi{10.1214/24-AOP1702}.
\newblock URL \url{https://doi.org/10.1214/24-AOP1702}.

\bibitem[Adler and Taylor(2007)]{AdlerTaylor2007}
Robert~J. Adler and Jonathan~E. Taylor.
\newblock \emph{Random Fields and Geometry}.
\newblock Springer Monographs in Mathematics. Springer, New York, 2007.
\newblock ISBN 978-0-387-48112-8.
\newblock \doi{10.1007/978-0-387-48116-6}.
\newblock URL \url{https://doi.org/10.1007/978-0-387-48116-6}.
\newblock Theorem 2.1.1, printed p. 50, (2.1.5); Lemma 2.1.5, printed p. 54,
  (2.1.13), proof pp. 54--55. Used with the authors' correction list of 7
  October 2015, entries 54-6, 55-11, and 55-4:
  \url{https://robert.net.technion.ac.il/files/2016/08/corrections.pdf}.
  Gaussian reference only.

\bibitem[Aldous and Eagleson(1978)]{AldousEagleson1978}
David~J. Aldous and Geoffrey~K. Eagleson.
\newblock On mixing and stability of limit theorems.
\newblock \emph{Annals of Probability}, 6\penalty0 (2):\penalty0 325--331,
  1978.
\newblock \doi{10.1214/aop/1176995577}.

\bibitem[Appelquist and Pisarski(1981)]{AppelquistPisarski1981}
Thomas Appelquist and Robert~D. Pisarski.
\newblock High-temperature {Yang--Mills} theories and three-dimensional quantum
  chromodynamics.
\newblock \emph{Physical Review D}, 23\penalty0 (10):\penalty0 2305--2317,
  1981.
\newblock \doi{10.1103/PhysRevD.23.2305}.

\bibitem[Atiyah and Bott(1983)]{AtiyahBott1983}
Michael~F. Atiyah and Raoul Bott.
\newblock The {Yang--Mills} equations over {Riemann} surfaces.
\newblock \emph{Philosophical Transactions of the Royal Society of London.
  Series A, Mathematical and Physical Sciences}, 308\penalty0 (1505):\penalty0
  523--615, 1983.
\newblock \doi{10.1098/rsta.1983.0017}.
\newblock URL \url{https://doi.org/10.1098/rsta.1983.0017}.

\bibitem[Austing and Wheater(2001)]{AustingWheater2001Convergence}
Peter Austing and John~F. Wheater.
\newblock {The convergence of Yang-Mills integrals}.
\newblock \emph{Journal of High Energy Physics}, 2001\penalty0 (02):\penalty0
  028, 2001.
\newblock \doi{10.1088/1126-6708/2001/02/028}.
\newblock URL \url{https://arxiv.org/abs/hep-th/0101071}.

\bibitem[Bakry and {\'E}mery(1985)]{BakryEmery1985}
Dominique Bakry and Michel {\'E}mery.
\newblock {Diffusions hypercontractives}.
\newblock In \emph{{S{\'e}minaire de Probabilit{\'e}s {XIX} 1983/84}}, volume
  1123 of \emph{Lecture Notes in Mathematics}, pages 177--206. Springer, 1985.
\newblock \doi{10.1007/BFb0075847}.
\newblock URL \url{https://www.numdam.org/item/SPS_1985__19__177_0/}.

\bibitem[Ba{\l}aban(1983)]{Balaban1983Green}
Tadeusz Ba{\l}aban.
\newblock {Regularity and decay of lattice Green's functions}.
\newblock \emph{Communications in Mathematical Physics}, 89\penalty0
  (4):\penalty0 571--597, 1983.
\newblock \doi{10.1007/BF01214744}.
\newblock URL \url{https://doi.org/10.1007/BF01214744}.

\bibitem[Ba{\l}aban(1984{\natexlab{a}})]{Balaban1984I}
Tadeusz Ba{\l}aban.
\newblock Propagators and renormalization transformations for lattice gauge
  theories. {I}.
\newblock \emph{Communications in Mathematical Physics}, 95\penalty0
  (1):\penalty0 17--40, 1984{\natexlab{a}}.
\newblock \doi{10.1007/BF01215753}.
\newblock URL \url{https://doi.org/10.1007/BF01215753}.
\newblock Proposition 1.1, p. 33; formulas (1.11), (1.18), (1.39)--(1.44),
  (1.60)--(1.69), (1.103).

\bibitem[Ba{\l}aban(1984{\natexlab{b}})]{Balaban1984II}
Tadeusz Ba{\l}aban.
\newblock Propagators and renormalization transformations for lattice gauge
  theories. {II}.
\newblock \emph{Communications in Mathematical Physics}, 96\penalty0
  (2):\penalty0 223--250, 1984{\natexlab{b}}.
\newblock \doi{10.1007/BF01240221}.
\newblock URL \url{https://doi.org/10.1007/BF01240221}.
\newblock Proposition 2.7 and Corollary 2.8, p. 249.

\bibitem[Ba{\l}aban(1985{\natexlab{a}})]{Balaban1985Averaging}
Tadeusz Ba{\l}aban.
\newblock {Averaging operations for lattice gauge theories}.
\newblock \emph{Communications in Mathematical Physics}, 98\penalty0
  (1):\penalty0 17--51, 1985{\natexlab{a}}.
\newblock \doi{10.1007/BF01211042}.
\newblock URL \url{https://doi.org/10.1007/BF01211042}.
\newblock The reference-transport logarithmic averaging construction is
  equation (15), p. 19.

\bibitem[Ba{\l}aban(1985{\natexlab{b}})]{Balaban1985Background}
Tadeusz Ba{\l}aban.
\newblock Propagators for lattice gauge theories in a background field.
\newblock \emph{Communications in Mathematical Physics}, 99\penalty0
  (3):\penalty0 389--434, 1985{\natexlab{b}}.
\newblock \doi{10.1007/BF01240355}.
\newblock URL \url{https://doi.org/10.1007/BF01240355}.
\newblock Theorems 3.1--3.3, pp. 397--399; H{\"o}lder norms (3.40), p. 397, and
  nonendpoint first-gradient H{\"o}lder bounds (3.43), p. 398; extension
  (3.133), p. 422, and Theorem 3.12, p. 423; constrained covariance (3.148),
  (3.153), pp. 425--426; Theorem 3.13, p. 426. Only the stated
  identity-background portions are used.

\bibitem[Ba{\l}aban(1985{\natexlab{c}})]{Balaban1985Regular}
Tadeusz Ba{\l}aban.
\newblock {Spaces of regular gauge field configurations on a lattice and gauge
  fixing conditions}.
\newblock \emph{Communications in Mathematical Physics}, 99\penalty0
  (1):\penalty0 75--102, 1985{\natexlab{c}}.
\newblock \doi{10.1007/BF01466594}.
\newblock URL \url{https://doi.org/10.1007/BF01466594}.

\bibitem[Ba{\l}aban(1985{\natexlab{d}})]{Balaban1985UV}
Tadeusz Ba{\l}aban.
\newblock {Ultraviolet stability of three-dimensional lattice pure gauge field
  theories}.
\newblock \emph{Communications in Mathematical Physics}, 102\penalty0
  (2):\penalty0 255--275, 1985{\natexlab{d}}.
\newblock \doi{10.1007/BF01229380}.
\newblock URL \url{https://doi.org/10.1007/BF01229380}.

\bibitem[Ba{\l}aban(1985{\natexlab{e}})]{Balaban1985Variational}
Tadeusz Ba{\l}aban.
\newblock {The variational problem and background fields in renormalization
  group method for lattice gauge theories}.
\newblock \emph{Communications in Mathematical Physics}, 102\penalty0
  (2):\penalty0 277--309, 1985{\natexlab{e}}.
\newblock \doi{10.1007/BF01229381}.
\newblock URL \url{https://doi.org/10.1007/BF01229381}.

\bibitem[Ba{\l}aban(1987)]{Balaban1987RGI}
Tadeusz Ba{\l}aban.
\newblock {Renormalization group approach to lattice gauge field theories. I.
  Generation of effective actions in a small field approximation and a coupling
  constant renormalization in four dimensions}.
\newblock \emph{Communications in Mathematical Physics}, 109\penalty0
  (2):\penalty0 249--301, 1987.
\newblock \doi{10.1007/BF01215223}.
\newblock URL \url{https://doi.org/10.1007/BF01215223}.

\bibitem[Ba{\l}aban(1988{\natexlab{a}})]{Balaban1988Convergent}
Tadeusz Ba{\l}aban.
\newblock {Convergent renormalization expansions for lattice gauge theories}.
\newblock \emph{Communications in Mathematical Physics}, 119\penalty0
  (2):\penalty0 243--285, 1988{\natexlab{a}}.
\newblock \doi{10.1007/BF01217741}.
\newblock URL \url{https://doi.org/10.1007/BF01217741}.

\bibitem[Ba{\l}aban(1988{\natexlab{b}})]{Balaban1988RGII}
Tadeusz Ba{\l}aban.
\newblock {Renormalization group approach to lattice gauge field theories. II.
  Cluster expansions}.
\newblock \emph{Communications in Mathematical Physics}, 116\penalty0
  (1):\penalty0 1--22, 1988{\natexlab{b}}.
\newblock \doi{10.1007/BF01239022}.
\newblock URL \url{https://doi.org/10.1007/BF01239022}.

\bibitem[Ba{\l}aban(1989{\natexlab{a}})]{Balaban1989LargeI}
Tadeusz Ba{\l}aban.
\newblock {Large field renormalization. I. The basic step of the R operation}.
\newblock \emph{Communications in Mathematical Physics}, 122\penalty0
  (2):\penalty0 175--202, 1989{\natexlab{a}}.
\newblock \doi{10.1007/BF01257412}.
\newblock URL \url{https://doi.org/10.1007/BF01257412}.

\bibitem[Ba{\l}aban(1989{\natexlab{b}})]{Balaban1989LargeII}
Tadeusz Ba{\l}aban.
\newblock {Large field renormalization. II. Localization, exponentiation, and
  bounds for the R operation}.
\newblock \emph{Communications in Mathematical Physics}, 122\penalty0
  (3):\penalty0 355--392, 1989{\natexlab{b}}.
\newblock \doi{10.1007/BF01238433}.
\newblock URL \url{https://doi.org/10.1007/BF01238433}.

\bibitem[Ba{\l}aban and Jaffe(1986)]{BalabanJaffe1986}
Tadeusz Ba{\l}aban and Arthur Jaffe.
\newblock Constructive gauge theory.
\newblock In \emph{Fundamental Problems of Gauge Field Theory}, volume 141 of
  \emph{NATO ASI Series B}, pages 207--263. Plenum Press, 1986.
\newblock \doi{10.1007/978-1-4757-0363-4_5}.
\newblock URL
  \url{https://link.springer.com/chapter/10.1007/978-1-4757-0363-4_5}.

\bibitem[Ba{\l}aban et~al.(1984)Ba{\l}aban, Imbrie, and Jaffe]{Balaban1984d}
Tadeusz Ba{\l}aban, John Imbrie, and Arthur Jaffe.
\newblock Exact renormalization group for gauge theories.
\newblock In \emph{Progress in Gauge Field Theory}, volume 115 of \emph{NATO
  ASI Series B}, pages 79--103. Plenum Press, 1984.
\newblock \doi{10.1007/978-1-4757-0280-4_4}.
\newblock URL
  \url{https://link.springer.com/chapter/10.1007/978-1-4757-0280-4_4}.

\bibitem[Ba{\l}aban et~al.(1985)Ba{\l}aban, Imbrie, and Jaffe]{Balaban1985f}
Tadeusz Ba{\l}aban, John Imbrie, and Arthur Jaffe.
\newblock Renormalization of the {Higgs} model: Minimizers, propagators and the
  stability of mean field theory.
\newblock \emph{Communications in Mathematical Physics}, 97\penalty0
  (1--2):\penalty0 299--329, 1985.
\newblock \doi{10.1007/BF01206191}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01206191}.

\bibitem[Ba{\l}aban et~al.(1988)Ba{\l}aban, Imbrie, and Jaffe]{Balaban1988c}
Tadeusz Ba{\l}aban, John~Z. Imbrie, and Arthur Jaffe.
\newblock Effective action and cluster properties of the abelian {Higgs} model.
\newblock \emph{Communications in Mathematical Physics}, 114\penalty0
  (2):\penalty0 257--315, 1988.
\newblock \doi{10.1007/BF01225038}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01225038}.

\bibitem[Basu and Ganguly(2018)]{BasuGanguly2018}
Riddhipratim Basu and Shirshendu Ganguly.
\newblock {$SO(N)$} lattice gauge theory, planar and beyond.
\newblock \emph{Communications on Pure and Applied Mathematics}, 71\penalty0
  (10):\penalty0 2016--2064, 2018.
\newblock \doi{10.1002/cpa.21788}.
\newblock URL \url{https://doi.org/10.1002/cpa.21788}.

\bibitem[Bhatia(1997)]{Bhatia1997}
Rajendra Bhatia.
\newblock \emph{{Matrix Analysis}}, volume 169 of \emph{Graduate Texts in
  Mathematics}.
\newblock Springer, New York, 1997.
\newblock \doi{10.1007/978-1-4612-0653-8}.
\newblock URL \url{https://doi.org/10.1007/978-1-4612-0653-8}.

\bibitem[Billingsley(1999)]{Billingsley1999}
Patrick Billingsley.
\newblock \emph{Convergence of Probability Measures}.
\newblock Wiley Series in Probability and Statistics. John Wiley \& Sons, New
  York, second edition, 1999.
\newblock \doi{10.1002/9780470316962}.

\bibitem[Biskup(2009)]{Biskup2009}
Marek Biskup.
\newblock Reflection positivity and phase transitions in lattice spin models.
\newblock In Roman Koteck{\'y}, editor, \emph{Methods of Contemporary
  Mathematical Statistical Physics}, volume 1970 of \emph{Lecture Notes in
  Mathematics}, pages 1--86. Springer, Berlin, Heidelberg, 2009.
\newblock \doi{10.1007/978-3-540-92796-9_1}.
\newblock URL \url{https://doi.org/10.1007/978-3-540-92796-9_1}.
\newblock arXiv version 2, 27 April 2009. Theorem 5.8, (5.34)--(5.35), printed
  p. 44; proof pp. 45--46.

\bibitem[Borell(1975)]{Borell1975GaussianIsoperimetry}
Christer Borell.
\newblock {The Brunn-Minkowski inequality in Gauss space}.
\newblock \emph{Inventiones Mathematicae}, 30\penalty0 (2):\penalty0 207--216,
  1975.
\newblock \doi{10.1007/BF01425510}.
\newblock URL \url{https://doi.org/10.1007/BF01425510}.

\bibitem[Bott(1954)]{Bott1954CriticalManifolds}
Raoul Bott.
\newblock {Nondegenerate critical manifolds}.
\newblock \emph{Annals of Mathematics}, 60\penalty0 (2):\penalty0 248--261,
  1954.
\newblock \doi{10.2307/1969631}.
\newblock URL \url{https://doi.org/10.2307/1969631}.

\bibitem[Bourgain(1996)]{Bourgain1996}
Jean Bourgain.
\newblock Invariant measures for the {2D}-defocusing nonlinear
  {Schr{\"o}dinger} equation.
\newblock \emph{Communications in Mathematical Physics}, 176\penalty0
  (2):\penalty0 421--445, 1996.
\newblock \doi{10.1007/BF02099556}.
\newblock URL \url{https://doi.org/10.1007/BF02099556}.

\bibitem[Brascamp and Lieb(1976)]{BrascampLieb1976}
Herm~Jan Brascamp and Elliott~H. Lieb.
\newblock {On Extensions of the {Brunn--Minkowski} and {Pr{\'e}kopa--Leindler}
  Theorems, Including Inequalities for Log Concave Functions, and with an
  Application to the Diffusion Equation}.
\newblock \emph{Journal of Functional Analysis}, 22\penalty0 (4):\penalty0
  366--389, 1976.
\newblock \doi{10.1016/0022-1236(76)90004-5}.
\newblock URL \url{https://doi.org/10.1016/0022-1236(76)90004-5}.

\bibitem[Brennecke(2026)]{Brennecke2026}
Christian Brennecke.
\newblock {On the Leading Order Term of the Lattice {Yang--Mills} Free Energy}.
\newblock \emph{Journal of Statistical Physics}, 193\penalty0 (7):\penalty0 83,
  2026.
\newblock \doi{10.1007/s10955-026-03649-4}.
\newblock URL \url{https://doi.org/10.1007/s10955-026-03649-4}.

\bibitem[Bringmann and Cao(2026)]{BringmannCao2026}
Bjoern Bringmann and Sky Cao.
\newblock A para-controlled approach to the stochastic {Yang--Mills} equation
  in two dimensions.
\newblock \emph{Memoirs of the American Mathematical Society}, 319\penalty0
  (1624):\penalty0 v+125, 2026.
\newblock \doi{10.1090/memo/1624}.
\newblock URL \url{https://doi.org/10.1090/memo/1624}.
\newblock Publication metadata corroborated by the zbMATH-linked record DE
  8212947 and author publication lists; direct AMS page inaccessible during
  verification.

\bibitem[Brydges et~al.(1979{\natexlab{a}})Brydges, Fr{\"o}hlich, and
  Seiler]{Brydges1979a}
David Brydges, J{\"u}rg Fr{\"o}hlich, and Erhard Seiler.
\newblock Diamagnetic and critical properties of {Higgs} lattice gauge
  theories.
\newblock \emph{Nuclear Physics B}, 152\penalty0 (3--4):\penalty0 521--532,
  1979{\natexlab{a}}.
\newblock \doi{10.1016/0550-3213(79)90095-6}.
\newblock URL
  \url{https://www.sciencedirect.com/science/article/pii/0550321379900956}.

\bibitem[Brydges et~al.(1979{\natexlab{b}})Brydges, Fr{\"o}hlich, and
  Seiler]{Brydges1979b}
David Brydges, J{\"u}rg Fr{\"o}hlich, and Erhard Seiler.
\newblock On the construction of quantized gauge fields. {I}. general results.
\newblock \emph{Annals of Physics}, 121\penalty0 (1--2):\penalty0 227--284,
  1979{\natexlab{b}}.
\newblock \doi{10.1016/0003-4916(79)90098-8}.
\newblock URL
  \url{https://www.sciencedirect.com/science/article/abs/pii/0003491679900988}.

\bibitem[Brydges(1986)]{Brydges1986}
David~C. Brydges.
\newblock A short course on cluster expansions.
\newblock In Konrad Osterwalder and Raymond Stora, editors, \emph{Critical
  Phenomena, Random Systems, Gauge Theories, Part I}, Les Houches, Session
  XLIII, 1984, pages 129--183. North-Holland, Amsterdam, 1986.
\newblock URL \url{https://inspirehep.net/literature/211093}.
\newblock School held in 1984; proceedings published in 1986. No DOI or arXiv
  identifier found.

\bibitem[Brydges(2009)]{Brydges2009}
David~C. Brydges.
\newblock Lectures on the renormalisation group.
\newblock In Scott Sheffield and Thomas Spencer, editors, \emph{Statistical
  Mechanics}, volume~16 of \emph{IAS/Park City Mathematics Series}, pages
  7--93. American Mathematical Society, 2009.
\newblock \doi{10.1090/pcms/016/02}.
\newblock URL \url{https://doi.org/10.1090/pcms/016/02}.

\bibitem[Brydges et~al.(1980)Brydges, Fr{\"o}hlich, and Seiler]{Brydges1980}
David~C. Brydges, J{\"u}rg Fr{\"o}hlich, and Erhard Seiler.
\newblock Construction of quantised gauge fields. {II}. convergence of the
  lattice approximation.
\newblock \emph{Communications in Mathematical Physics}, 71\penalty0
  (2):\penalty0 159--205, 1980.
\newblock \doi{10.1007/BF01197918}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01197918}.

\bibitem[Brydges et~al.(1981)Brydges, Fr{\"o}hlich, and Seiler]{Brydges1981}
David~C. Brydges, J{\"u}rg Fr{\"o}hlich, and Erhard Seiler.
\newblock On the construction of quantized gauge fields. {III}. the
  two-dimensional abelian {Higgs} model without cutoffs.
\newblock \emph{Communications in Mathematical Physics}, 79\penalty0
  (3):\penalty0 353--399, 1981.
\newblock \doi{10.1007/BF01208500}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01208500}.

\bibitem[Cao and Chatterjee(2023)]{CCHeat2022v4}
Sky Cao and Sourav Chatterjee.
\newblock The {Yang--Mills} heat flow with random distributional initial data.
\newblock \emph{Communications in Partial Differential Equations}, 48\penalty0
  (2):\penalty0 209--251, 2023.
\newblock \doi{10.1080/03605302.2023.2169937}.
\newblock URL \url{https://arxiv.org/abs/2111.10652v4}.
\newblock All numbered and printed-page locators refer to arXiv:2111.10652v4,
  25 August 2022, not journal pagination. Only deterministic smooth-data
  results are used: Theorem 1.2 and Lemma 1.3, p. 3; Lemmas C.2--C.3, pp.
  55--56; Corollary C.6, p. 58; Lemmas C.12--C.13, p. 61.

\bibitem[Cao and Chatterjee(2024)]{CCState2023v4}
Sky Cao and Sourav Chatterjee.
\newblock A state space for {3D} euclidean {Yang--Mills} theories.
\newblock \emph{Communications in Mathematical Physics}, 405\penalty0
  (1):\penalty0 3, 2024.
\newblock \doi{10.1007/s00220-023-04870-y}.
\newblock URL \url{https://arxiv.org/abs/2111.12813v4}.
\newblock Article 3, 69 pp. All numbered and printed-page locators refer to
  arXiv:2111.12813v4, 20 November 2023, not journal pagination, including
  Lemmas 1.4--1.5 and Theorem 1.6, p. 7; Theorem 3.14, p. 25; Theorem 3.51, pp.
  35--36; Lemma 3.68, p. 40.

\bibitem[Cao et~al.(2025)Cao, Nissim, and Sheffield]{CaoNissim2025a}
Sky Cao, Ron Nissim, and Scott Sheffield.
\newblock Expanded regimes of area law for lattice {Yang--Mills} theories,
  2025.
\newblock URL \url{https://arxiv.org/abs/2505.16585}.
\newblock Preprint; no published version verified.

\bibitem[Chandra et~al.(2022)Chandra, Chevyrev, Hairer, and
  Shen]{ChandraChevyrevHairerShen2022}
Ajay Chandra, Ilya Chevyrev, Martin Hairer, and Hao Shen.
\newblock {Langevin Dynamic for the {2D Yang--Mills} Measure}.
\newblock \emph{Publications math{\'e}matiques de l'IH{\'E}S}, 136:\penalty0
  1--147, 2022.
\newblock \doi{10.1007/s10240-022-00132-0}.
\newblock URL \url{https://arxiv.org/abs/2006.04987}.

\bibitem[Chandra et~al.(2024)Chandra, Chevyrev, Hairer, and
  Shen]{ChandraChevyrevHairerShen2024}
Ajay Chandra, Ilya Chevyrev, Martin Hairer, and Hao Shen.
\newblock {Stochastic Quantisation of {Yang--Mills--Higgs} in {3D}}.
\newblock \emph{Inventiones mathematicae}, 237\penalty0 (2):\penalty0 541--696,
  2024.
\newblock \doi{10.1007/s00222-024-01264-2}.
\newblock URL \url{https://arxiv.org/abs/2201.03487}.

\bibitem[Charalambous and Gross(2013)]{CharalambousGross2013}
Nelia Charalambous and Leonard Gross.
\newblock {The {Yang--Mills} Heat Semigroup on Three-Manifolds with Boundary}.
\newblock \emph{Communications in Mathematical Physics}, 317\penalty0
  (3):\penalty0 727--785, 2013.
\newblock \doi{10.1007/s00220-012-1558-0}.
\newblock URL \url{https://arxiv.org/abs/1004.1639}.

\bibitem[Charalambous and Gross(2015)]{CharalambousGross2015}
Nelia Charalambous and Leonard Gross.
\newblock Neumann domination for the {Yang--Mills} heat equation.
\newblock \emph{Journal of Mathematical Physics}, 56\penalty0 (7):\penalty0
  073505, 2015.
\newblock \doi{10.1063/1.4927250}.
\newblock URL \url{https://doi.org/10.1063/1.4927250}.

\bibitem[Charalambous and Gross(2017)]{CharalambousGross2017}
Nelia Charalambous and Leonard Gross.
\newblock Initial behavior of solutions to the {Yang--Mills} heat equation.
\newblock \emph{Journal of Mathematical Analysis and Applications},
  451\penalty0 (2):\penalty0 873--905, 2017.
\newblock \doi{10.1016/j.jmaa.2017.02.027}.
\newblock URL \url{https://doi.org/10.1016/j.jmaa.2017.02.027}.

\bibitem[Chatterjee(2016)]{Chatterjee2016}
Sourav Chatterjee.
\newblock {The Leading Term of the {Yang--Mills} Free Energy}.
\newblock \emph{Journal of Functional Analysis}, 271\penalty0 (10):\penalty0
  2944--3005, 2016.
\newblock \doi{10.1016/j.jfa.2016.04.032}.
\newblock URL \url{https://arxiv.org/abs/1602.01222v6}.

\bibitem[Chatterjee(2019{\natexlab{a}})]{Chatterjee2019Survey}
Sourav Chatterjee.
\newblock {{Yang--Mills} for Probabilists}.
\newblock In Peter Friz, Wolfgang K{\"o}nig, Chiranjib Mukherjee, and Stefano
  Olla, editors, \emph{{Probability and Analysis in Interacting Physical
  Systems}}, volume 283 of \emph{Springer Proceedings in Mathematics \&
  Statistics}, pages 1--16. Springer, 2019{\natexlab{a}}.
\newblock \doi{10.1007/978-3-030-15338-0_1}.
\newblock URL \url{https://arxiv.org/abs/1803.01950}.

\bibitem[Chatterjee(2019{\natexlab{b}})]{Chatterjee2019a}
Sourav Chatterjee.
\newblock Rigorous solution of strongly coupled {$SO(N)$} lattice gauge theory
  in the large {$N$} limit.
\newblock \emph{Communications in Mathematical Physics}, 366\penalty0
  (1):\penalty0 203--268, 2019{\natexlab{b}}.
\newblock \doi{10.1007/s00220-019-03353-3}.
\newblock URL \url{https://doi.org/10.1007/s00220-019-03353-3}.

\bibitem[Chatterjee(2026)]{Chatterjee2026HiggsScaling}
Sourav Chatterjee.
\newblock A scaling limit of {SU(2)} lattice {Yang--Mills--Higgs} theory.
\newblock \emph{Probability and Mathematical Physics}, 7\penalty0 (2):\penalty0
  339--381, 2026.
\newblock \doi{10.2140/pmp.2026.7.339}.
\newblock URL \url{https://arxiv.org/abs/2401.10507v4}.

\bibitem[Chatterjee and Jafarov(2016)]{ChatterjeeJafarov2016}
Sourav Chatterjee and Jafar Jafarov.
\newblock The {$1/N$} expansion for {$SO(N)$} lattice gauge theory at strong
  coupling, 2016.
\newblock URL \url{https://inspirehep.net/literature/1448303}.
\newblock Preprint; no published version verified.

\bibitem[Chevyrev(2019)]{Chevyrev2019}
Ilya Chevyrev.
\newblock {{Yang--Mills} Measure on the Two-Dimensional Torus as a Random
  Distribution}.
\newblock \emph{Communications in Mathematical Physics}, 372\penalty0
  (3):\penalty0 1027--1058, 2019.
\newblock \doi{10.1007/s00220-019-03567-5}.
\newblock URL \url{https://arxiv.org/abs/1808.09196}.

\bibitem[Chevyrev(2022)]{Chevyrev2022Survey}
Ilya Chevyrev.
\newblock {Stochastic Quantization of {Yang--Mills}}.
\newblock \emph{Journal of Mathematical Physics}, 63\penalty0 (9):\penalty0
  091101, 2022.
\newblock \doi{10.1063/5.0089431}.
\newblock URL \url{https://arxiv.org/abs/2202.13359}.

\bibitem[Chevyrev and Shen(2026{\natexlab{a}})]{ChevyrevShen2026Invariant}
Ilya Chevyrev and Hao Shen.
\newblock {Invariant Measure and Universality of the {2D Yang--Mills} Langevin
  Dynamic}.
\newblock \emph{Communications on Pure and Applied Mathematics}, 79\penalty0
  (8):\penalty0 1973--2102, 2026{\natexlab{a}}.
\newblock \doi{10.1002/cpa.70043}.
\newblock URL \url{https://arxiv.org/abs/2302.12160v3}.

\bibitem[Chevyrev and Shen(2026{\natexlab{b}})]{ChevyrevShen2026Uniqueness}
Ilya Chevyrev and Hao Shen.
\newblock {Uniqueness of Gauge Covariant Renormalisation of Stochastic {3D
  Yang--Mills--Higgs}}.
\newblock \emph{Archive for Rational Mechanics and Analysis}, 250\penalty0
  (1):\penalty0 11, 2026{\natexlab{b}}.
\newblock \doi{10.1007/s00205-025-02163-3}.
\newblock URL \url{https://arxiv.org/abs/2503.03060v2}.

\bibitem[Chevyrev et~al.(2026)Chevyrev, Qu, and Shen]{ChevyrevQuShen2026}
Ilya Chevyrev, Yahui Qu, and Hao Shen.
\newblock Scaling limit of the {3D} abelian {Yang--Mills} langevin dynamics,
  2026.
\newblock URL \url{https://arxiv.org/abs/2608.27828v2}.
\newblock Preprint, version 2, 17 September 2026.

\bibitem[Cirel'son et~al.(1976)Cirel'son, Ibragimov, and
  Sudakov]{CirelsonIbragimovSudakov1976}
B.~S. Cirel'son, I.~A. Ibragimov, and V.~N. Sudakov.
\newblock {Norms of Gaussian sample functions}.
\newblock In Gisiro Maruyama and Jurii~V. Prokhorov, editors,
  \emph{{Proceedings of the Third Japan--USSR Symposium on Probability
  Theory}}, volume 550 of \emph{Lecture Notes in Mathematics}, pages 20--41.
  Springer, 1976.
\newblock \doi{10.1007/BFb0077482}.
\newblock URL \url{https://doi.org/10.1007/BFb0077482}.

\bibitem[Combes and Thomas(1973)]{CombesThomas1973}
Jean-Michel Combes and Lawrence Thomas.
\newblock {Asymptotic Behaviour of Eigenfunctions for Multiparticle
  {Schr{\"o}dinger} Operators}.
\newblock \emph{Communications in Mathematical Physics}, 34\penalty0
  (4):\penalty0 251--270, 1973.
\newblock \doi{10.1007/BF01646473}.
\newblock URL \url{https://doi.org/10.1007/BF01646473}.

\bibitem[Coste et~al.(1985)Coste, Gonz{\'a}lez-Arroyo, Jurkiewicz, and
  Korthals~Altes]{CosteEtAl1985ZeroMomentum}
A.~Coste, Antonio Gonz{\'a}lez-Arroyo, J.~Jurkiewicz, and C.~P. Korthals~Altes.
\newblock {Zero-momentum contribution to Wilson loops in periodic boxes}.
\newblock \emph{Nuclear Physics B}, 262\penalty0 (1):\penalty0 67--94, 1985.
\newblock \doi{10.1016/0550-3213(85)90064-1}.
\newblock URL \url{https://doi.org/10.1016/0550-3213(85)90064-1}.

\bibitem[Da~Prato and Debussche(2003)]{DaPratoDebussche2003}
Giuseppe Da~Prato and Arnaud Debussche.
\newblock {Strong Solutions to the Stochastic Quantization Equations}.
\newblock \emph{The Annals of Probability}, 31\penalty0 (4):\penalty0
  1900--1916, 2003.
\newblock \doi{10.1214/aop/1068646370}.
\newblock URL \url{https://doi.org/10.1214/aop/1068646370}.

\bibitem[da~Veiga and O'Carroll(2019)]{FariaVeigaOCarroll2019}
Paulo A.~Faria da~Veiga and Michael O'Carroll.
\newblock {On Thermodynamic and Ultraviolet Stability of {Yang--Mills}}, 2019.
\newblock URL \url{https://arxiv.org/abs/1903.09829v2}.
\newblock Preprint, version 2, 7 October 2019. No journal publication verified
  as of 16 October 2026.

\bibitem[da~Veiga and O'Carroll(2025)]{FariaVeigaOCarroll2025}
Paulo A.~Faria da~Veiga and Michael O'Carroll.
\newblock {On {Yang--Mills} Stability Bounds and Plaquette Field Generating
  Function}.
\newblock \emph{Reports on Mathematical Physics}, 95\penalty0 (3):\penalty0
  303--380, 2025.
\newblock \doi{10.1016/S0034-4877(25)00035-7}.
\newblock URL \url{https://arxiv.org/abs/2205.07376v2}.

\bibitem[DeTurck(1983)]{DeTurck1983}
Dennis~M. DeTurck.
\newblock {Deforming Metrics in the Direction of Their {Ricci} Tensors}.
\newblock \emph{Journal of Differential Geometry}, 18\penalty0 (1):\penalty0
  157--162, 1983.
\newblock \doi{10.4310/jdg/1214509286}.
\newblock URL \url{https://doi.org/10.4310/jdg/1214509286}.

\bibitem[Dimock(2013{\natexlab{a}})]{Dimock2013Large}
Jonathan Dimock.
\newblock {The renormalization group according to Balaban. II. Large fields}.
\newblock \emph{Journal of Mathematical Physics}, 54\penalty0 (9):\penalty0
  092301, 2013{\natexlab{a}}.
\newblock \doi{10.1063/1.4821275}.
\newblock URL \url{https://doi.org/10.1063/1.4821275}.

\bibitem[Dimock(2013{\natexlab{b}})]{Dimock2013v2}
Jonathan Dimock.
\newblock The renormalization group according to {Balaban}---{I}. small fields.
\newblock \emph{Reviews in Mathematical Physics}, 25\penalty0 (7):\penalty0
  1330010, 2013{\natexlab{b}}.
\newblock \doi{10.1142/S0129055X13300100}.
\newblock URL \url{https://arxiv.org/abs/1108.1335v2}.
\newblock All numbered and printed-page locators refer to arXiv:1108.1335v2, 21
  December 2012, not journal pagination: Appendix B, Theorem 27, p. 39, and
  connected hard-core graph estimate (323), p. 42. Only the finite graph bound
  is imported.

\bibitem[Dimock(2014)]{Dimock2014Convergence}
Jonathan Dimock.
\newblock {The Renormalization Group According to Balaban III. Convergence}.
\newblock \emph{Annales Henri Poincar{\'e}}, 15\penalty0 (11):\penalty0
  2133--2175, 2014.
\newblock \doi{10.1007/s00023-013-0303-3}.
\newblock URL \url{https://doi.org/10.1007/s00023-013-0303-3}.

\bibitem[Dimock(2015{\natexlab{a}})]{Dimock2015Axial}
Jonathan Dimock.
\newblock {Covariant Axial Gauge}.
\newblock \emph{Letters in Mathematical Physics}, 105\penalty0 (7):\penalty0
  959--987, 2015{\natexlab{a}}.
\newblock \doi{10.1007/s11005-015-0763-0}.
\newblock URL \url{https://doi.org/10.1007/s11005-015-0763-0}.

\bibitem[Dimock(2015{\natexlab{b}})]{Dimock2015b}
Jonathan Dimock.
\newblock Nonperturbative renormalization of scalar quantum electrodynamics in
  {$d=3$}.
\newblock \emph{Journal of Mathematical Physics}, 56\penalty0 (10):\penalty0
  102304, 2015{\natexlab{b}}.
\newblock \doi{10.1063/1.4933224}.
\newblock URL \url{https://pubs.aip.org/aip/jmp/issue/56/10}.

\bibitem[Dimock(2018)]{Dimock2018}
Jonathan Dimock.
\newblock Ultraviolet regularity for {QED} in {$d=3$}.
\newblock \emph{Journal of Mathematical Physics}, 59\penalty0 (1):\penalty0
  012301, 2018.
\newblock \doi{10.1063/1.5009458}.
\newblock URL \url{https://arxiv.org/abs/1512.04373}.

\bibitem[Dimock(2020)]{Dimock2020}
Jonathan Dimock.
\newblock Multiscale block averaging for {QED} in {$d=3$}.
\newblock \emph{Journal of Mathematical Physics}, 61\penalty0 (3):\penalty0
  032302, 2020.
\newblock \doi{10.1063/1.5134439}.
\newblock URL \url{https://arxiv.org/abs/1712.10029}.

\bibitem[Dirksen(2015)]{Dirksen2015}
Sjoerd Dirksen.
\newblock {Tail Bounds via Generic Chaining}.
\newblock \emph{Electronic Journal of Probability}, 20\penalty0 (53):\penalty0
  1--29, 2015.
\newblock \doi{10.1214/EJP.v20-3760}.
\newblock URL \url{https://arxiv.org/abs/1309.3522}.

\bibitem[Donaldson(1983)]{Donaldson1983}
Simon~K. Donaldson.
\newblock A new proof of a theorem of {Narasimhan} and {Seshadri}.
\newblock \emph{Journal of Differential Geometry}, 18\penalty0 (2):\penalty0
  269--277, 1983.
\newblock \doi{10.4310/jdg/1214437664}.
\newblock URL \url{https://doi.org/10.4310/jdg/1214437664}.

\bibitem[Donaldson(1985)]{Donaldson1985}
Simon~K. Donaldson.
\newblock {Anti Self-Dual {Yang--Mills} Connections over Complex Algebraic
  Surfaces and Stable Vector Bundles}.
\newblock \emph{Proceedings of the London Mathematical Society}, 50\penalty0
  (1):\penalty0 1--26, 1985.
\newblock \doi{10.1112/plms/s3-50.1.1}.
\newblock URL \url{https://doi.org/10.1112/plms/s3-50.1.1}.

\bibitem[Douglas(2026)]{Douglas2026}
Michael~R. Douglas.
\newblock The {Yang--Mills} millennium problem.
\newblock \emph{Nature Reviews Physics}, 8\penalty0 (2):\penalty0 86--97, 2026.
\newblock \doi{10.1038/s42254-025-00909-2}.
\newblock URL \url{https://www.nature.com/articles/s42254-025-00909-2}.

\bibitem[Driver(1989)]{Driver1989}
Bruce~K. Driver.
\newblock {YM}$_2$: Continuum expectations, lattice convergence, and lassos.
\newblock \emph{Communications in Mathematical Physics}, 123\penalty0
  (4):\penalty0 575--616, 1989.
\newblock \doi{10.1007/BF01218586}.
\newblock URL \url{https://doi.org/10.1007/BF01218586}.

\bibitem[Dudley(1967)]{Dudley1967}
Richard~M. Dudley.
\newblock {The Sizes of Compact Subsets of {Hilbert} Space and Continuity of
  {Gaussian} Processes}.
\newblock \emph{Journal of Functional Analysis}, 1\penalty0 (3):\penalty0
  290--330, 1967.
\newblock \doi{10.1016/0022-1236(67)90017-1}.
\newblock URL \url{https://doi.org/10.1016/0022-1236(67)90017-1}.

\bibitem[Eckart and Young(1936)]{EckartYoung1936}
Carl Eckart and Gale Young.
\newblock The approximation of one matrix by another of lower rank.
\newblock \emph{Psychometrika}, 1\penalty0 (3):\penalty0 211--218, 1936.
\newblock \doi{10.1007/BF02288367}.

\bibitem[Federbush(1986)]{Federbush1986}
Paul Federbush.
\newblock A phase cell approach to {Yang--Mills} theory. {I}. modes,
  lattice-continuum duality.
\newblock \emph{Communications in Mathematical Physics}, 107\penalty0
  (2):\penalty0 319--329, 1986.
\newblock \doi{10.1007/BF01209397}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01209397}.

\bibitem[Federbush(1987{\natexlab{a}})]{Federbush1987a}
Paul Federbush.
\newblock A phase cell approach to {Yang--Mills} theory. {III}. local
  stability, modified renormalization group transformation.
\newblock \emph{Communications in Mathematical Physics}, 110\penalty0
  (2):\penalty0 293--309, 1987{\natexlab{a}}.
\newblock \doi{10.1007/BF01207369}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01207369}.

\bibitem[Federbush(1987{\natexlab{b}})]{Federbush1987b}
Paul Federbush.
\newblock A phase cell approach to {Yang--Mills} theory. {VI}. non-abelian
  lattice-continuum duality.
\newblock \emph{Annales de l'Institut Henri Poincar{\'e}, Physique
  th{\'e}orique}, 47\penalty0 (1):\penalty0 17--23, 1987{\natexlab{b}}.
\newblock URL \url{https://www.numdam.org/item/AIHPA_1987__47_1_17_0/}.
\newblock Bibliographic record verified in Numdam; no DOI or arXiv identifier
  located.

\bibitem[Federbush(1988)]{Federbush1988}
Paul Federbush.
\newblock A phase cell approach to {Yang--Mills} theory. {IV}. the choice of
  variables.
\newblock \emph{Communications in Mathematical Physics}, 114\penalty0
  (2):\penalty0 317--343, 1988.
\newblock \doi{10.1007/BF01225039}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01225039}.

\bibitem[Federbush(1990)]{Federbush1990}
Paul Federbush.
\newblock A phase cell approach to {Yang--Mills} theory. {V}. analysis of a
  chunk.
\newblock \emph{Communications in Mathematical Physics}, 127\penalty0
  (3):\penalty0 433--457, 1990.
\newblock \doi{10.1007/BF02104497}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF02104497}.

\bibitem[Federbush and Williamson(1987)]{FederbushWilliamson1987}
Paul Federbush and Calvin Williamson.
\newblock A phase cell approach to {Yang--Mills} theory. {II}. analysis of a
  mode.
\newblock \emph{Journal of Mathematical Physics}, 28\penalty0 (6):\penalty0
  1416--1419, 1987.
\newblock \doi{10.1063/1.527495}.
\newblock URL \url{https://pubs.aip.org/aip/jmp/issue/28/6}.

\bibitem[Fern{\'a}ndez and Procacci(2007)]{FernandezProcacci2007}
Roberto Fern{\'a}ndez and Aldo Procacci.
\newblock {Cluster Expansion for Abstract Polymer Models. New Bounds from an
  Old Approach}.
\newblock \emph{Communications in Mathematical Physics}, 274\penalty0
  (1):\penalty0 123--140, 2007.
\newblock \doi{10.1007/s00220-007-0279-2}.
\newblock URL \url{https://doi.org/10.1007/s00220-007-0279-2}.

\bibitem[Feynman(1981)]{Feynman1981}
Richard~P. Feynman.
\newblock The qualitative behavior of {Yang--Mills} theory in {2+1} dimensions.
\newblock \emph{Nuclear Physics B}, 188\penalty0 (3):\penalty0 479--512, 1981.
\newblock \doi{10.1016/0550-3213(81)90005-5}.

\bibitem[Fine(1990)]{Fine1990}
Dana~S. Fine.
\newblock Quantum {Yang--Mills} on the two-sphere.
\newblock \emph{Communications in Mathematical Physics}, 134\penalty0
  (2):\penalty0 273--292, 1990.
\newblock \doi{10.1007/BF02097703}.
\newblock URL \url{https://doi.org/10.1007/BF02097703}.

\bibitem[Fine(1991)]{Fine1991}
Dana~S. Fine.
\newblock Quantum {Yang--Mills} on a {Riemann} surface.
\newblock \emph{Communications in Mathematical Physics}, 140\penalty0
  (2):\penalty0 321--338, 1991.
\newblock \doi{10.1007/BF02099502}.
\newblock URL \url{https://doi.org/10.1007/BF02099502}.

\bibitem[Fodor et~al.(2012)Fodor, Holland, Kuti, Nogradi, and
  Wong]{FodorEtAl2012FiniteVolumeFlow}
Zoltan Fodor, Kieran Holland, Julius Kuti, Daniel Nogradi, and Chik~Him Wong.
\newblock {The Yang-Mills gradient flow in finite volume}.
\newblock \emph{Journal of High Energy Physics}, 2012\penalty0 (11):\penalty0
  007, 2012.
\newblock \doi{10.1007/JHEP11(2012)007}.
\newblock URL \url{https://arxiv.org/abs/1208.1051}.

\bibitem[Fr{\"o}hlich et~al.(1978)Fr{\"o}hlich, Israel, Lieb, and
  Simon]{FILS1978}
J{\"u}rg Fr{\"o}hlich, Robert Israel, Elliott~H. Lieb, and Barry Simon.
\newblock {Phase Transitions and Reflection Positivity. {I}. General Theory and
  Long Range Lattice Models}.
\newblock \emph{Communications in Mathematical Physics}, 62\penalty0
  (1):\penalty0 1--34, 1978.
\newblock \doi{10.1007/BF01940327}.
\newblock URL \url{https://doi.org/10.1007/BF01940327}.

\bibitem[Fr{\"o}hlich et~al.(1980)Fr{\"o}hlich, Israel, Lieb, and
  Simon]{FILS1980}
J{\"u}rg Fr{\"o}hlich, Robert~B. Israel, Elliott~H. Lieb, and Barry Simon.
\newblock {Phase Transitions and Reflection Positivity. {II}. Lattice Systems
  with Short-Range and Coulomb Interactions}.
\newblock \emph{Journal of Statistical Physics}, 22\penalty0 (3):\penalty0
  297--347, 1980.
\newblock \doi{10.1007/BF01014646}.
\newblock URL \url{https://doi.org/10.1007/BF01014646}.

\bibitem[Gaw{\k{e}}dzki and Kupiainen(1980)]{GawedzkiKupiainen1980}
Krzysztof Gaw{\k{e}}dzki and Antti Kupiainen.
\newblock A rigorous block spin approach to massless lattice theories.
\newblock \emph{Communications in Mathematical Physics}, 77\penalty0
  (1):\penalty0 31--64, 1980.
\newblock \doi{10.1007/BF01205038}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01205038}.

\bibitem[Gaw{\k{e}}dzki and
  Kupiainen(1983{\natexlab{a}})]{GawedzkiKupiainen1983a}
Krzysztof Gaw{\k{e}}dzki and Antti Kupiainen.
\newblock Block spin renormalization group for dipole gas and
  $(\nabla\varphi)^4$.
\newblock \emph{Annals of Physics}, 147\penalty0 (1):\penalty0 198--243,
  1983{\natexlab{a}}.
\newblock \doi{10.1016/0003-4916(83)90071-4}.
\newblock URL
  \url{https://www.sciencedirect.com/science/article/pii/0003491683900714}.

\bibitem[Gaw{\k{e}}dzki and
  Kupiainen(1983{\natexlab{b}})]{GawedzkiKupiainen1983b}
Krzysztof Gaw{\k{e}}dzki and Antti Kupiainen.
\newblock Rigorous renormalization group and asymptotic freedom.
\newblock In \emph{Scaling and Self-Similarity in Physics}, volume~7 of
  \emph{Progress in Physics}, pages 227--262. Birkh{\"a}user,
  1983{\natexlab{b}}.
\newblock \doi{10.1007/978-1-4899-6762-6_7}.
\newblock URL
  \url{https://link.springer.com/chapter/10.1007/978-1-4899-6762-6_7}.

\bibitem[Gaw{\k{e}}dzki and Kupiainen(1986)]{GawedzkiKupiainen1986}
Krzysztof Gaw{\k{e}}dzki and Antti Kupiainen.
\newblock Continuum limit of the hierarchical {$O(N)$} non-linear
  $\sigma$-model.
\newblock \emph{Communications in Mathematical Physics}, 106\penalty0
  (4):\penalty0 533--550, 1986.
\newblock \doi{10.1007/BF01463394}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01463394}.

\bibitem[Ginsparg(1980)]{Ginsparg1980}
Paul~H. Ginsparg.
\newblock First order and second order phase transitions in gauge theories at
  finite temperature.
\newblock \emph{Nuclear Physics B}, 170:\penalty0 388--408, 1980.
\newblock \doi{10.1016/0550-3213(80)90418-6}.

\bibitem[Glimm and Jaffe(1987)]{GlimmJaffe1987}
James Glimm and Arthur Jaffe.
\newblock \emph{Quantum Physics: A Functional Integral Point of View}.
\newblock Springer, 2 edition, 1987.
\newblock \doi{10.1007/978-1-4612-4728-9}.
\newblock URL \url{https://link.springer.com/book/10.1007/978-1-4612-4728-9}.

\bibitem[Gonz{\'a}lez-Arroyo(1998)]{GonzalezArroyo1998}
Antonio Gonz{\'a}lez-Arroyo.
\newblock {Yang--Mills} fields on the 4-dimensional torus. part {I}: Classical
  theory, 1998.
\newblock URL \url{https://arxiv.org/abs/hep-th/9807108}.
\newblock First part of lectures given at the 1997 Advanced School on
  Non-perturbative Quantum Physics, Pe{\~n}iscola; cited version:
  arXiv:hep-th/9807108v1.

\bibitem[Gonz{\'a}lez-Arroyo et~al.(1983)Gonz{\'a}lez-Arroyo, Jurkiewicz, and
  Korthals-Altes]{GonzalezArroyo1983}
Antonio Gonz{\'a}lez-Arroyo, J.~Jurkiewicz, and C.~P. Korthals-Altes.
\newblock Ground state metamorphosis for {Yang--Mills} fields on a finite
  periodic lattice.
\newblock In J.~Honerkamp, K.~Pohlmeyer, and H.~R{\"o}mer, editors,
  \emph{Structural Elements in Particle Physics and Statistical Mechanics},
  pages 339--358. Plenum Press, New York, 1983.
\newblock \doi{10.1007/978-1-4613-3509-2_25}.
\newblock Freiburg 1981 lectures. Year follows the publisher's original-volume
  record (1983); the chapter landing page inconsistently displays 1987.

\bibitem[Gross and Wilczek(1973)]{GrossWilczek1973}
David~J. Gross and Frank Wilczek.
\newblock Ultraviolet behavior of non-abelian gauge theories.
\newblock \emph{Physical Review Letters}, 30\penalty0 (26):\penalty0
  1343--1346, 1973.
\newblock \doi{10.1103/PhysRevLett.30.1343}.

\bibitem[Gross(1975)]{Gross1975}
Leonard Gross.
\newblock {Logarithmic Sobolev Inequalities}.
\newblock \emph{American Journal of Mathematics}, 97\penalty0 (4):\penalty0
  1061--1083, 1975.
\newblock \doi{10.2307/2373688}.
\newblock URL \url{https://doi.org/10.2307/2373688}.

\bibitem[Gross(1983)]{Gross1983Abelian}
Leonard Gross.
\newblock {Convergence of {$U(1)_3$} Lattice Gauge Theory to Its Continuum
  Limit}.
\newblock \emph{Communications in Mathematical Physics}, 92\penalty0
  (2):\penalty0 137--162, 1983.
\newblock \doi{10.1007/BF01210842}.
\newblock URL \url{https://doi.org/10.1007/BF01210842}.

\bibitem[Gross(2022)]{Gross2022}
Leonard Gross.
\newblock The {Yang--Mills} heat equation with finite action in three
  dimensions.
\newblock \emph{Memoirs of the American Mathematical Society}, 275\penalty0
  (1349):\penalty0 v+111, 2022.
\newblock \doi{10.1090/memo/1349}.
\newblock URL \url{https://doi.org/10.1090/memo/1349}.

\bibitem[Gross et~al.(1989)Gross, King, and Sengupta]{Gross1989}
Leonard Gross, Christopher King, and Ambar Sengupta.
\newblock Two dimensional {Yang--Mills} theory via stochastic differential
  equations.
\newblock \emph{Annals of Physics}, 194\penalty0 (1):\penalty0 65--112, 1989.
\newblock \doi{10.1016/0003-4916(89)90032-8}.
\newblock URL \url{https://doi.org/10.1016/0003-4916(89)90032-8}.

\bibitem[Hairer(2014)]{Hairer2014}
Martin Hairer.
\newblock A theory of regularity structures.
\newblock \emph{Inventiones mathematicae}, 198\penalty0 (2):\penalty0 269--504,
  2014.
\newblock \doi{10.1007/s00222-014-0505-4}.
\newblock URL \url{https://doi.org/10.1007/s00222-014-0505-4}.

\bibitem[Hanson and Wright(1971)]{HansonWright1971}
D.~L. Hanson and F.~T. Wright.
\newblock {A Bound on Tail Probabilities for Quadratic Forms in Independent
  Random Variables}.
\newblock \emph{The Annals of Mathematical Statistics}, 42\penalty0
  (3):\penalty0 1079--1083, 1971.
\newblock \doi{10.1214/aoms/1177693335}.
\newblock URL \url{https://doi.org/10.1214/aoms/1177693335}.

\bibitem[Helffer(1998)]{Helffer1998}
Bernard Helffer.
\newblock {Remarks on Decay of Correlations and Witten Laplacians:
  {Brascamp--Lieb} Inequalities and Semiclassical Limit}.
\newblock \emph{Journal of Functional Analysis}, 155\penalty0 (2):\penalty0
  571--586, 1998.
\newblock \doi{10.1006/jfan.1997.3239}.
\newblock URL \url{https://doi.org/10.1006/jfan.1997.3239}.

\bibitem[Helffer and Sj{\"o}strand(1994)]{HelfferSjostrand1994}
Bernard Helffer and Johannes Sj{\"o}strand.
\newblock {On the Correlation for Kac-like Models in the Convex Case}.
\newblock \emph{Journal of Statistical Physics}, 74\penalty0 (1--2):\penalty0
  349--409, 1994.
\newblock \doi{10.1007/BF02186817}.
\newblock URL \url{https://doi.org/10.1007/BF02186817}.

\bibitem[Horowitz(1972)]{Horowitz1972Characters}
Robert~D. Horowitz.
\newblock {Characters of free groups represented in the two-dimensional special
  linear group}.
\newblock \emph{Communications on Pure and Applied Mathematics}, 25\penalty0
  (6):\penalty0 635--649, 1972.
\newblock \doi{10.1002/cpa.3160250602}.
\newblock URL \url{https://doi.org/10.1002/cpa.3160250602}.

\bibitem[Isserlis(1918)]{Isserlis1918GaussianMoments}
Leon Isserlis.
\newblock {On a formula for the product-moment coefficient of any order of a
  normal frequency distribution in any number of variables}.
\newblock \emph{Biometrika}, 12\penalty0 (1-2):\penalty0 134--139, 1918.
\newblock \doi{10.1093/biomet/12.1-2.134}.
\newblock URL \url{https://doi.org/10.1093/biomet/12.1-2.134}.

\bibitem[Jackiw and Templeton(1981)]{JackiwTempleton1981}
R.~Jackiw and S.~Templeton.
\newblock How super-renormalizable interactions cure their infrared
  divergences.
\newblock \emph{Physical Review D}, 23\penalty0 (10):\penalty0 2291--2304,
  1981.
\newblock \doi{10.1103/PhysRevD.23.2291}.

\bibitem[Jaffe and Witten(2006)]{JaffeWitten2006}
Arthur Jaffe and Edward Witten.
\newblock Quantum {Yang--Mills} theory.
\newblock In James Carlson, Arthur Jaffe, and Andrew Wiles, editors, \emph{The
  Millennium Prize Problems}, pages 129--152. Clay Mathematics Institute and
  American Mathematical Society, 2006.
\newblock URL
  \url{https://www.claymath.org/wp-content/uploads/2022/06/yangmills.pdf}.
\newblock Published version, pp. 129--152; official Clay PDF also available. No
  chapter DOI or arXiv identifier verified.

\bibitem[Karabali et~al.(1998{\natexlab{a}})Karabali, Kim, and
  Nair]{Karabali1998a}
Dimitra Karabali, Chanju Kim, and V.~P. Nair.
\newblock Planar {Yang--Mills} theory: {Hamiltonian}, regulators and mass gap.
\newblock \emph{Nuclear Physics B}, 524:\penalty0 661--694, 1998{\natexlab{a}}.
\newblock \doi{10.1016/S0550-3213(98)00309-5}.

\bibitem[Karabali et~al.(1998{\natexlab{b}})Karabali, Kim, and
  Nair]{Karabali1998b}
Dimitra Karabali, Chanju Kim, and V.~P. Nair.
\newblock On the vacuum wavefunction and string tension of {Yang--Mills}
  theories in {(2+1)} dimensions.
\newblock \emph{Physics Letters B}, 434\penalty0 (1--2):\penalty0 103--109,
  1998{\natexlab{b}}.
\newblock \doi{10.1016/S0370-2693(98)00751-5}.

\bibitem[King(1986{\natexlab{a}})]{King1986a}
Christopher King.
\newblock The {U(1) Higgs} model. {I}. the continuum limit.
\newblock \emph{Communications in Mathematical Physics}, 102\penalty0
  (4):\penalty0 649--677, 1986{\natexlab{a}}.
\newblock \doi{10.1007/BF01221651}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01221651}.

\bibitem[King(1986{\natexlab{b}})]{King1986b}
Christopher King.
\newblock The {U(1) Higgs} model. {II}. the infinite volume limit.
\newblock \emph{Communications in Mathematical Physics}, 103\penalty0
  (2):\penalty0 323--349, 1986{\natexlab{b}}.
\newblock \doi{10.1007/BF01206942}.
\newblock URL \url{https://link.springer.com/article/10.1007/BF01206942}.

\bibitem[Koller and van Baal(1988)]{KollerVanBaal1988}
Jeffrey Koller and Pierre van Baal.
\newblock A non-perturbative analysis in finite volume gauge theory.
\newblock \emph{Nuclear Physics B}, 302\penalty0 (1):\penalty0 1--64, 1988.
\newblock \doi{10.1016/0550-3213(88)90665-7}.

\bibitem[Koteck{\'y} and Preiss(1986)]{KoteckyPreiss1986}
Roman Koteck{\'y} and David Preiss.
\newblock {Cluster expansion for abstract polymer models}.
\newblock \emph{Communications in Mathematical Physics}, 103\penalty0
  (3):\penalty0 491--498, 1986.
\newblock \doi{10.1007/BF01211762}.
\newblock URL \url{https://doi.org/10.1007/BF01211762}.

\bibitem[Krauth and Staudacher(1998)]{KrauthStaudacher1998FiniteIntegrals}
Werner Krauth and Matthias Staudacher.
\newblock {Finite Yang-Mills integrals}.
\newblock \emph{Physics Letters B}, 435\penalty0 (3-4):\penalty0 350--355,
  1998.
\newblock \doi{10.1016/S0370-2693(98)00814-4}.
\newblock URL \url{https://arxiv.org/abs/hep-th/9804199}.

\bibitem[Krauth et~al.(1998)Krauth, Nicolai, and
  Staudacher]{KrauthNicolaiStaudacher1998}
Werner Krauth, Hermann Nicolai, and Matthias Staudacher.
\newblock {Monte Carlo approach to M-theory}.
\newblock \emph{Physics Letters B}, 431\penalty0 (1-2):\penalty0 31--41, 1998.
\newblock \doi{10.1016/S0370-2693(98)00557-7}.
\newblock URL \url{https://arxiv.org/abs/hep-th/9803117}.

\bibitem[Ledoux(1999)]{Ledoux1999}
Michel Ledoux.
\newblock {Concentration of Measure and Logarithmic Sobolev Inequalities}.
\newblock In \emph{{S{\'e}minaire de Probabilit{\'e}s {XXXIII}}}, volume 1709
  of \emph{Lecture Notes in Mathematics}, pages 120--216. Springer, 1999.
\newblock \doi{10.1007/BFb0096511}.
\newblock URL \url{https://www.numdam.org/item/SPS_1999__33__120_0/}.

\bibitem[L{\'e}vy(2003)]{Levy2003}
Thierry L{\'e}vy.
\newblock {Yang--Mills} measure on compact surfaces.
\newblock \emph{Memoirs of the American Mathematical Society}, 166\penalty0
  (790):\penalty0 xiv+122, 2003.
\newblock \doi{10.1090/memo/0790}.
\newblock URL \url{https://doi.org/10.1090/memo/0790}.

\bibitem[L{\'e}vy(2010)]{Levy2010}
Thierry L{\'e}vy.
\newblock Two-dimensional {Markovian} holonomy fields.
\newblock \emph{Ast{\'e}risque}, 329:\penalty0 vi+172, 2010.
\newblock URL \url{https://www.numdam.org/item/AST_2010__329__R1_0/}.

\bibitem[Linde(1980)]{Linde1980}
A.~D. Linde.
\newblock Infrared problem in the thermodynamics of the {Yang--Mills} gas.
\newblock \emph{Physics Letters B}, 96\penalty0 (3--4):\penalty0 289--292,
  1980.
\newblock \doi{10.1016/0370-2693(80)90769-8}.

\bibitem[L{\"u}scher(1983)]{Luscher1983Torus}
Martin L{\"u}scher.
\newblock {Some analytic results concerning the mass spectrum of Yang-Mills
  gauge theories on a torus}.
\newblock \emph{Nuclear Physics B}, 219\penalty0 (1):\penalty0 233--261, 1983.
\newblock \doi{10.1016/0550-3213(83)90436-4}.
\newblock URL \url{https://doi.org/10.1016/0550-3213(83)90436-4}.

\bibitem[L{\"u}scher(2010{\natexlab{a}})]{Luscher2010WilsonFlow}
Martin L{\"u}scher.
\newblock {Properties and Uses of the {Wilson} Flow in Lattice {QCD}}.
\newblock \emph{Journal of High Energy Physics}, 2010\penalty0 (08):\penalty0
  071, 2010{\natexlab{a}}.
\newblock \doi{10.1007/JHEP08(2010)071}.
\newblock URL \url{https://arxiv.org/abs/1006.4518}.
\newblock Erratum: Journal of High Energy Physics 2014, no. 03, article 092,
  doi:10.1007/JHEP03(2014)092.

\bibitem[L{\"u}scher(2010{\natexlab{b}})]{Luscher2010a}
Martin L{\"u}scher.
\newblock Trivializing maps, the {Wilson} flow and the {HMC} algorithm.
\newblock \emph{Communications in Mathematical Physics}, 293\penalty0
  (3):\penalty0 899--919, 2010{\natexlab{b}}.
\newblock \doi{10.1007/s00220-009-0953-7}.
\newblock URL \url{https://doi.org/10.1007/s00220-009-0953-7}.

\bibitem[L{\"u}scher and M{\"u}nster(1984)]{LuscherMunster1984}
Martin L{\"u}scher and Gernot M{\"u}nster.
\newblock Weak-coupling expansion of the low-lying energy values in the {SU(2)}
  gauge theory on a torus.
\newblock \emph{Nuclear Physics B}, 232\penalty0 (3):\penalty0 445--472, 1984.
\newblock \doi{10.1016/0550-3213(84)90038-5}.

\bibitem[L{\"u}scher and Weisz(2011)]{LuscherWeisz2011}
Martin L{\"u}scher and Peter Weisz.
\newblock Perturbative analysis of the gradient flow in non-abelian gauge
  theories.
\newblock \emph{Journal of High Energy Physics}, 2011\penalty0 (02):\penalty0
  051, 2011.
\newblock \doi{10.1007/JHEP02(2011)051}.
\newblock URL \url{https://doi.org/10.1007/JHEP02(2011)051}.

\bibitem[Magnen et~al.(1993)Magnen, Rivasseau, and
  S{\'e}n{\'e}or]{MagnenRivasseauSeneor1993}
Jacques Magnen, Vincent Rivasseau, and Roland S{\'e}n{\'e}or.
\newblock {Construction of {YM}$_4$ with an Infrared Cutoff}.
\newblock \emph{Communications in Mathematical Physics}, 155\penalty0
  (2):\penalty0 325--383, 1993.
\newblock \doi{10.1007/BF02097397}.
\newblock URL \url{https://doi.org/10.1007/BF02097397}.

\bibitem[Narayanan and Neuberger(2006)]{NarayananNeuberger2006}
Rajamani Narayanan and Herbert Neuberger.
\newblock Infinite {$N$} phase transitions in continuum {Wilson} loop
  operators.
\newblock \emph{Journal of High Energy Physics}, 2006\penalty0 (03):\penalty0
  064, 2006.
\newblock \doi{10.1088/1126-6708/2006/03/064}.
\newblock URL \url{https://doi.org/10.1088/1126-6708/2006/03/064}.

\bibitem[Osterwalder and Seiler(1978)]{OsterwalderSeiler1978}
Konrad Osterwalder and Erhard Seiler.
\newblock {Gauge Field Theories on a Lattice}.
\newblock \emph{Annals of Physics}, 110\penalty0 (2):\penalty0 440--471, 1978.
\newblock \doi{10.1016/0003-4916(78)90039-8}.
\newblock URL \url{https://doi.org/10.1016/0003-4916(78)90039-8}.

\bibitem[Parisi and Wu(1981)]{ParisiWu1981}
Giorgio Parisi and Yong-shi Wu.
\newblock Perturbation theory without gauge fixing.
\newblock \emph{Scientia Sinica}, 24\penalty0 (4):\penalty0 483--496, 1981.
\newblock URL \url{https://chimera.roma1.infn.it/GIORGIO/papers.html}.

\bibitem[Penrose(1967)]{Penrose1967}
Oliver Penrose.
\newblock Convergence of fugacity expansions for classical systems.
\newblock In Thor~A. Bak, editor, \emph{Statistical Mechanics: Foundations and
  Applications}, pages 101--109. W. A. Benjamin, New York, 1967.

\bibitem[Politzer(1973)]{Politzer1973}
H.~David Politzer.
\newblock Reliable perturbative results for strong interactions?
\newblock \emph{Physical Review Letters}, 30\penalty0 (26):\penalty0
  1346--1349, 1973.
\newblock \doi{10.1103/PhysRevLett.30.1346}.

\bibitem[Prokhorov(1956)]{Prokhorov1956}
Yu.~V. Prokhorov.
\newblock Convergence of random processes and limit theorems in probability
  theory.
\newblock \emph{Theory of Probability and Its Applications}, 1\penalty0
  (2):\penalty0 157--214, 1956.
\newblock \doi{10.1137/1101016}.
\newblock URL \url{https://epubs.siam.org/doi/10.1137/1101016}.
\newblock English translation; Russian original: Teoriya Veroyatnostei i ee
  Primeneniya 1(2), 177--238 (1956).

\bibitem[R{\aa}de(1992)]{Rade1992}
Johan R{\aa}de.
\newblock {On the {Yang--Mills} Heat Equation in Two and Three Dimensions}.
\newblock \emph{Journal f{\"u}r die reine und angewandte Mathematik},
  431:\penalty0 123--163, 1992.
\newblock \doi{10.1515/crll.1992.431.123}.
\newblock URL \url{https://doi.org/10.1515/crll.1992.431.123}.
\newblock Publisher metadata gives pages 123--164, including a blank final
  verso; substantive text ends at page 163.

\bibitem[Rivasseau(1991)]{Rivasseau1991}
Vincent Rivasseau.
\newblock \emph{From Perturbative to Constructive Renormalization}.
\newblock Princeton Series in Physics. Princeton University Press, 1991.
\newblock \doi{10.1515/9781400862085}.
\newblock URL
  \url{https://www.degruyterbrill.com/document/doi/10.1515/9781400862085/html}.
\newblock Originally published in 1991; DOI refers to the electronic reissue
  (2014).

\bibitem[Seiler(1982)]{Seiler1982}
Erhard Seiler.
\newblock \emph{Gauge Theories as a Problem of Constructive Quantum Field
  Theory and Statistical Mechanics}, volume 159 of \emph{Lecture Notes in
  Physics}.
\newblock Springer, 1982.
\newblock \doi{10.1007/3-540-11559-5}.
\newblock URL \url{https://link.springer.com/book/10.1007/3-540-11559-5}.

\bibitem[Sengupta(1992)]{Sengupta1992}
Ambar Sengupta.
\newblock The {Yang--Mills} measure for {$S^2$}.
\newblock \emph{Journal of Functional Analysis}, 108\penalty0 (2):\penalty0
  231--273, 1992.
\newblock \doi{10.1016/0022-1236(92)90025-E}.
\newblock URL \url{https://doi.org/10.1016/0022-1236(92)90025-E}.

\bibitem[Sengupta(1993)]{Sengupta1993}
Ambar Sengupta.
\newblock Quantum gauge theory on compact surfaces.
\newblock \emph{Annals of Physics}, 221\penalty0 (1):\penalty0 17--52, 1993.
\newblock \doi{10.1006/aphy.1993.1002}.
\newblock URL \url{https://doi.org/10.1006/aphy.1993.1002}.

\bibitem[Sengupta(1994)]{Sengupta1994}
Ambar Sengupta.
\newblock {Gauge Invariant Functions of Connections}.
\newblock \emph{Proceedings of the American Mathematical Society}, 121\penalty0
  (3):\penalty0 897--905, 1994.
\newblock \doi{10.1090/S0002-9939-1994-1215205-7}.
\newblock URL \url{https://doi.org/10.1090/S0002-9939-1994-1215205-7}.

\bibitem[Sengupta(1997)]{Sengupta1997}
Ambar Sengupta.
\newblock Gauge theory on compact surfaces.
\newblock \emph{Memoirs of the American Mathematical Society}, 126\penalty0
  (600):\penalty0 viii+85, 1997.
\newblock \doi{10.1090/memo/0600}.
\newblock URL \url{https://doi.org/10.1090/memo/0600}.

\bibitem[Shen et~al.(2023)Shen, Zhu, and Zhu]{Shen2023}
Hao Shen, Rongchan Zhu, and Xiangchan Zhu.
\newblock A stochastic analysis approach to lattice {Yang--Mills} at strong
  coupling.
\newblock \emph{Communications in Mathematical Physics}, 400\penalty0
  (2):\penalty0 805--851, 2023.
\newblock \doi{10.1007/s00220-022-04609-1}.
\newblock URL \url{https://doi.org/10.1007/s00220-022-04609-1}.

\bibitem[Stein(1972)]{Stein1972NormalApproximation}
Charles Stein.
\newblock {A bound for the error in the normal approximation to the
  distribution of a sum of dependent random variables}.
\newblock In Lucien~M. Le~Cam, Jerzy Neyman, and Elizabeth~L. Scott, editors,
  \emph{{Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics
  and Probability, Volume II: Probability Theory}}, pages 583--602. University
  of California Press, 1972.
\newblock URL \url{https://digicoll.lib.berkeley.edu/record/113245}.

\bibitem[Sudakov and
  Tsirel'son(1978)]{SudakovTsirelson1974GaussianIsoperimetry}
V.~N. Sudakov and B.~S. Tsirel'son.
\newblock {Extremal properties of half-spaces for spherically invariant
  measures}.
\newblock \emph{Journal of Soviet Mathematics}, 9\penalty0 (1):\penalty0 9--18,
  1978.
\newblock \doi{10.1007/BF01086099}.
\newblock URL \url{https://doi.org/10.1007/BF01086099}.
\newblock English translation. Russian original: Zapiski Nauchnykh Seminarov
  LOMI 41 (1974), 14--24, 165.

\bibitem[{'t Hooft}(1979)]{Hooft1979}
Gerard {'t Hooft}.
\newblock A property of electric and magnetic flux in non-abelian gauge
  theories.
\newblock \emph{Nuclear Physics B}, 153:\penalty0 141--160, 1979.
\newblock \doi{10.1016/0550-3213(79)90595-9}.

\bibitem[Teper(1999)]{Teper1999}
Michael~J. Teper.
\newblock {SU(N)} gauge theories in {2+1} dimensions.
\newblock \emph{Physical Review D}, 59\penalty0 (1):\penalty0 014512, 1999.
\newblock \doi{10.1103/PhysRevD.59.014512}.
\newblock Issue dated 1 January 1999; first published online 9 December 1998.

\bibitem[Uhlenbeck(1982)]{Uhlenbeck1982Connections}
Karen~K. Uhlenbeck.
\newblock {Connections with {$L^p$} Bounds on Curvature}.
\newblock \emph{Communications in Mathematical Physics}, 83\penalty0
  (1):\penalty0 31--42, 1982.
\newblock \doi{10.1007/BF01947069}.
\newblock URL \url{https://doi.org/10.1007/BF01947069}.

\bibitem[van Baal(2001)]{VanBaal2001}
Pierre van Baal.
\newblock {QCD} in a finite volume.
\newblock In M.~Shifman, editor, \emph{At the Frontier of Particle Physics:
  Handbook of {QCD}}, volume~2, pages 683--760. World Scientific, 2001.
\newblock \doi{10.1142/9789812810458_0021}.

\bibitem[Wilson(1974)]{Wilson1974}
Kenneth~G. Wilson.
\newblock {Confinement of Quarks}.
\newblock \emph{Physical Review D}, 10\penalty0 (8):\penalty0 2445--2459, 1974.
\newblock \doi{10.1103/PhysRevD.10.2445}.
\newblock URL \url{https://doi.org/10.1103/PhysRevD.10.2445}.

\bibitem[Witten(1991)]{Witten1991}
Edward Witten.
\newblock On quantum gauge theories in two dimensions.
\newblock \emph{Communications in Mathematical Physics}, 141\penalty0
  (1):\penalty0 153--209, 1991.
\newblock \doi{10.1007/BF02100009}.
\newblock URL \url{https://doi.org/10.1007/BF02100009}.

\bibitem[Wong(2001)]{Wong2001AsymptoticIntegrals}
Roderick Wong.
\newblock \emph{{Asymptotic Approximations of Integrals}}, volume~34 of
  \emph{Classics in Applied Mathematics}.
\newblock Society for Industrial and Applied Mathematics, 2001.
\newblock \doi{10.1137/1.9780898719260}.
\newblock URL \url{https://doi.org/10.1137/1.9780898719260}.
\newblock SIAM reprint of the 1989 Academic Press edition.

\bibitem[Yang and Mills(1954)]{YangMills1954}
C.~N. Yang and R.~L. Mills.
\newblock {Conservation of Isotopic Spin and Isotopic Gauge Invariance}.
\newblock \emph{Physical Review}, 96\penalty0 (1):\penalty0 191--195, 1954.
\newblock \doi{10.1103/PhysRev.96.191}.
\newblock URL \url{https://doi.org/10.1103/PhysRev.96.191}.

\bibitem[Zwanziger(1981)]{Zwanziger1981}
Daniel Zwanziger.
\newblock {Covariant Quantization of Gauge Fields without {Gribov} Ambiguity}.
\newblock \emph{Nuclear Physics B}, 192\penalty0 (1):\penalty0 259--269, 1981.
\newblock \doi{10.1016/0550-3213(81)90202-9}.
\newblock URL \url{https://doi.org/10.1016/0550-3213(81)90202-9}.

\end{thebibliography}