{
  "abstract": "Based on our previous results regarding critical exponent estimates for the 3D Ising model and scaling relations [1], we have proven that the exact value of the correlation-length exponent is $\\frac{\\sqrt[3]{2}}{2}$. This is in very close agreement with the most precise numerical estimates currently available. Using a group theoretical approach and some propositions of constructive geometry, we derived an exact construction of algebraic expressions for the critical exponents $γ$ and $β$. We proved that these expressions depend solely on the exact value of $ν\\,$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17797",
  "author_total": 1,
  "authors": [
    {
      "name": "Aleksandr Liivand"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bx29sm81e4f35.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17797",
  "fulltext_url": null,
  "id": "bx29sm81e4f35",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17797",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7221806799",
  "pdf_url": "https://arxiv.org/pdf/2610.17797",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bx29sm81e4f35.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.17797",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17797"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Proof of the exact correlation-length exponent $ν= \\frac{\\sqrt[3]{2}}{2}$ and algebraic relations for $β$ and $γ$ in the 3D Ising model",
  "title_text": "Proof of the exact correlation-length exponent ν= √[3]2/2 and algebraic relations for β and γ in the 3D Ising model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/bx29sm81e4f35",
  "venue": "arXiv",
  "versions": []
}