{
  "abstract": "Finite-temperature phases are traditionally studied through spontaneous symmetry breaking, but symmetry-breaking fields can remove their distinction, as in the Ising model. This motivates the search for stable nontrivial thermal phases without symmetry protection. For classical $\\mathbb Z_2$ lattice gauge models with spins on $m$-dimensional cells in a fixed spatial dimension $d$, we prove joint analyticity of the thermodynamic free-energy density in temperature and perturbation strength at sufficiently low positive temperatures under sufficiently weak local perturbations, whenever $1\\le m\\le d-2$. Perturbations need not preserve internal or gauge symmetries and may include noncommuting quantum interactions. A separate high-temperature expansion yields an analytic region reaching infinite temperature at any fixed finite perturbation strength. These results establish thermodynamic stability and support the conjecture that low- and high-temperature regimes remain separated by a thermal transition without symmetry protection.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27938",
  "author_total": 3,
  "authors": [
    {
      "name": "Shunsuke Sengoku"
    },
    {
      "name": "Weiguang Cao"
    },
    {
      "name": "Haruki Watanabe"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/33wy93y1hdnrs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27938",
  "fulltext_url": null,
  "id": "33wy93y1hdnrs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27938",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.other"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7223088570",
  "pdf_url": "https://arxiv.org/pdf/2610.27938",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/33wy93y1hdnrs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27938",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27938"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.other",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Thermodynamic Stability of Classical $\\mathbb Z_2$ Lattice Gauge Models",
  "title_text": "Thermodynamic Stability of Classical ℤ_2 Lattice Gauge Models",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/33wy93y1hdnrs",
  "venue": "arXiv",
  "versions": []
}