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