Hexagon

math-ph — Mathematical Physics

Mass Gap of Four-Dimensional Lattice Yang--Mills Theory in a Forest Gauge

Contributed by Deep Bhattacharjee, Ushashi Bhattacharya

We fix the gauge of four-dimensional lattice Yang--Mills theory on a field of straight lines that meets every plaquette in exactly one link, so that each free link interacts with twelve others instead of eighteen. In this gauge the theory has a unique infinite-volume state with exponential decay of correlations and a positive mass gap at fixed lattice spacing, for SU(2) beyond the limit of every single-link argument in a gauge of this kind, by blocks made of the three free links of a plaquette, for every SU(N) beyond the curvature limit of the ungauged theory, and for SU(3) on a range more than two and a half times as large as was known before, where the same blocks raise the gap at the end of that range by two orders of magnitude and carry the range past it to $\beta_W=0.76$ .

A mix of human-written and AI-generated textHuman understanding: some partsBakry-Emery curvatureDobrushin uniquenessball arithmeticgauge fixinglattice gauge theorymass gapplaquette blocks

Oct 18, 2026PDF ↗View work →

Matching works

Mass Gap of Four-Dimensional Lattice Yang--Mills Theory in a Forest Gauge

Advanced search

math.AC — Commutative Algebra
math.AG — Algebraic Geometry
math.AP — Analysis of PDEs
math.AT — Algebraic Topology
math.CA — Classical Analysis and ODEs
math.CO — Combinatorics
math.CT — Category Theory
math.CV — Complex Variables
math.DG — Differential Geometry
math.DS — Dynamical Systems
math.FA — Functional Analysis
math.GM — General Mathematics
math.GN — General Topology
math.GR — Group Theory
math.GT — Geometric Topology
math.HO — History and Overview
math.IT — Information Theory
math.KT — K-Theory and Homology
math.LO — Logic
math.MG — Metric Geometry
math.NA — Numerical Analysis
math.NT — Number Theory
math.OA — Operator Algebras
math.OC — Optimization and Control
math.PR — Probability
math.QA — Quantum Algebra
math.RA — Rings and Algebras
math.RT — Representation Theory
math.SG — Symplectic Geometry
math.SP — Spectral Theory
math.ST — Statistics Theory
cs.AI — Artificial Intelligence
cs.CC — Computational Complexity
cs.CG — Computational Geometry
cs.DM — Discrete Mathematics
cs.DS — Data Structures and Algorithms
cs.FL — Formal Languages and Automata Theory
cs.IT — Information Theory
cs.LO — Logic in Computer Science
cs.MS — Mathematical Software
cs.NA — Numerical Analysis
cs.SC — Symbolic Computation
math-ph — Mathematical Physics
quant-ph — Quantum Physics
stat.TH — Statistics Theory