{
  "abstract": "We investigate critical correlations in the weakly anisotropic two-dimensional scalar lattice $ϕ^4$ theory and demonstrate that a previously reported independence of the correlation length amplitude ratio from the local interaction strength does not hold. Monte Carlo simulations instead reveal a pronounced dependence of this ratio on the interaction strength. As the coupling is increased, the amplitude ratio interpolates between the continuum and Ising limits, highlighting a nontrivial interplay between lattice effects and local interactions. These findings call for a revised theoretical description of anisotropy effects at finite coupling in this prototypical lattice field theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35081",
  "author_total": 2,
  "authors": [
    {
      "name": "Leonie Müller"
    },
    {
      "name": "Stefan Wessel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ccktry5zvwdv3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35081",
  "fulltext_url": null,
  "id": "ccktry5zvwdv3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35081",
  "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",
      "hep-lat"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7223875750",
  "pdf_url": "https://arxiv.org/pdf/2610.35081",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ccktry5zvwdv3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35081",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35081"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Interaction dependence of the critical correlation length amplitude ratio in anisotropic scalar lattice $ϕ^4$ theory",
  "title_text": "Interaction dependence of the critical correlation length amplitude ratio in anisotropic scalar lattice ϕ^4 theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/ccktry5zvwdv3",
  "venue": "arXiv",
  "versions": []
}