{
  "abstract": "We prove that the subcritical mass gap is comparable to the Lee-Yang gap over free-boundary square boxes raised to the power $8/15$. Random-current moment bounds, a correlation inequality and a finite block expansion give the upper bound. The lower bound follows from the Lee-Yang product, the susceptibility and the critical magnetization. We also obtain uniform factorial bounds on the field derivatives of the pressure.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25348",
  "author_total": 3,
  "authors": [
    {
      "name": "Noam Borgnia"
    },
    {
      "name": "Jui-Hui Chung"
    },
    {
      "name": "Jacob Shapiro"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1q66ahetmhjyr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25348",
  "fulltext_url": null,
  "id": "1q66ahetmhjyr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25348",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "math-ph"
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      "arxiv",
      "math.MP"
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      "arxiv",
      "math.PR"
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      "openalex",
      "2610|Stochastic processes and statistical mechanics"
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  "openalex": "W7214092282",
  "pdf_url": "https://arxiv.org/pdf/2609.25348",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1q66ahetmhjyr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25348",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25348"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising model",
  "title_text": "Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/1q66ahetmhjyr",
  "venue": "arXiv",
  "versions": []
}