{
  "abstract": "We study the continuum scaling limit of the Langevin dynamics for three-dimensional U(1) lattice Yang--Mills theory. The model is defined on the discrete 3D torus with a general class of plaquette actions that are suitably normalized, including Wilson, Manton, and Villain actions. Under the weak-coupling scaling and in the DeTurck gauge, we prove that the rescaled logarithmic field converges to the solution of the one-form stochastic heat equation in probability. In particular, the limiting dynamics are universal and do not depend on the higher-order details of the plaquette action.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27828",
  "author_total": 3,
  "authors": [
    {
      "name": "Ilya Chevyrev"
    },
    {
      "name": "Yahui Qu"
    },
    {
      "name": "Hao Shen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fagsxd75tnyn7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27828",
  "fulltext_url": null,
  "id": "fagsxd75tnyn7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27828",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7204794119",
  "pdf_url": "https://arxiv.org/pdf/2608.27828",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fagsxd75tnyn7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2608.27828",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27828"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Scaling limit of the 3D abelian Yang--Mills Langevin dynamics",
  "title_text": "Scaling limit of the 3D abelian Yang--Mills Langevin dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/fagsxd75tnyn7",
  "venue": "arXiv",
  "versions": []
}