{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35286",
  "author_total": 2,
  "authors": [
    {
      "name": "Jack Piazza"
    },
    {
      "name": "Hao Shen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7x54bdtkfkezp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35286",
  "fulltext_url": null,
  "id": "7x54bdtkfkezp",
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  "landing_url": "https://arxiv.org/abs/2610.35286",
  "language": null,
  "licence": "CC0-1.0",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
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      "arxiv",
      "math.MP"
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      "arxiv",
      "math.PR"
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      "2610|Stochastic processes and statistical mechanics"
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  "openalex": "W7224006535",
  "pdf_url": "https://arxiv.org/pdf/2610.35286",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7x54bdtkfkezp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35286",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35286"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Log-Sobolev inequality for 2D $\\mathrm{SU}(N)$ lattice gauge theory at all couplings",
  "title_text": "Log-Sobolev inequality for 2D SU(N) lattice gauge theory at all couplings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/7x54bdtkfkezp",
  "venue": "arXiv",
  "versions": []
}