{
  "abstract": "We consider the $ϕ^4$ theory with $ϕ(x)\\in\\mathbb{R}$ in three Euclidean dimensions. For a variety of self-couplings $\\hatλ$, the critical (bare) parameter $\\hatμ_{0\\mathrm{c}}^2(\\hatλ)$ is determined where the lattice-regulated system changes from the symmetric phase to the broken phase. Next, we send the box volume to infinity and switch to a universal scheme; this yields $\\hatμ_\\mathrm{c}^2(\\hatλ)$ for each simulated $\\hatλ$. Finally, a continuum extrapolation gives $f_\\mathrm{c}=\\lim_{\\hatλ\\to0} \\hatλ^2/\\hatμ_\\mathrm{c}^2(\\hatλ)$, and we find $f_\\mathrm{c} = 18.808(64)_{\\mathrm{stat}}(45)_{\\mathrm{sys}} = 18.808(78)_{\\mathrm{tot}}$. In addition, $Δ\\langleϕ^2\\rangle_\\mathrm{c}/λ= -0.00303(12)_{\\mathrm{stat}}(12)_{\\mathrm{sys}} = -0.00303(17)_{\\mathrm{tot}}$ is determined in the combined continuum and infinite-volume limit.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03028",
  "author_total": 2,
  "authors": [
    {
      "name": "Stephan Durr"
    },
    {
      "name": "Tolga S. H. Kiel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/97vnw1s573wk9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03028",
  "fulltext_url": null,
  "id": "97vnw1s573wk9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03028",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7220460445",
  "pdf_url": "https://arxiv.org/pdf/2610.03028",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/97vnw1s573wk9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.03028",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03028"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Critical coupling and $Δ\\langleϕ^2\\rangle$ in three-dimensional $ϕ^4$ theory",
  "title_text": "Critical coupling and Δ⟨ϕ^2⟩ in three-dimensional ϕ^4 theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/97vnw1s573wk9",
  "venue": "arXiv",
  "versions": []
}