PreprintCC0arXiv
Log-Sobolev inequality for 2D SU(N) lattice gauge theory at all couplings
Abstract
We prove that the log-Sobolev inequality holds for the two-dimensional SU(N) Wilson lattice Yang--Mills measure with arbitrary fixed inverse coupling β. The log-Sobolev constant depends on β and N, but is uniform in the volume of the underlying lattice. The proof relies on a two-scale disintegration argument.
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BibTeX
@misc{piazza2026logsobolev,
title = {{Log-Sobolev inequality for 2D $\mathrmSU(N)$ lattice gauge theory at all couplings}},
author = {Jack Piazza and Hao Shen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35286},
eprint = {2610.35286},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35286},
note = {CC0},
}
RIS
TY - UNPB
TI - Log-Sobolev inequality for 2D SU(N) lattice gauge theory at all couplings
AU - Jack Piazza
AU - Hao Shen
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35286
UR - https://arxiv.org/abs/2610.35286
AB - We prove that the log-Sobolev inequality holds for the two-dimensional SU(N) Wilson lattice Yang--Mills measure with arbitrary fixed inverse coupling β. The log-Sobolev constant depends on β and N, but is uniform in the volume of the underlying lattice. The proof relies on a two-scale disintegration argument.
ER -