{
  "abstract": "We compute the dynamic critical exponent $z$ of the Yang--Lee edge singularity in relaxational dynamics using perturbative renormalization-group methods to the three-loop order. The calculation combines diagram reduction, analytic two-loop evaluation via parametric integration with hyperlogarithms, and numerical evaluation of three-loop integrals using the Sector Decomposition method. The perturbative series obtained is resummed using Padé and Padé-Borel-Leroy methods to produce estimates of $z$ in various spatial dimensions. The resulting values are consistent with previous perturbative and functional renormalization-group calculations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.15887",
  "author_total": 4,
  "authors": [
    {
      "name": "Loran Ts. Adzhemyan"
    },
    {
      "name": "Diana A. Davletbaeva"
    },
    {
      "name": "Daniil A. Evdokimov"
    },
    {
      "name": "Mikhail V. Kompaniets"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/905qaqnfdzyq0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.15887",
  "fulltext_url": null,
  "id": "905qaqnfdzyq0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.15887",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7203709177",
  "pdf_url": "https://arxiv.org/pdf/2608.15887",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/905qaqnfdzyq0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2608.15887",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.15887"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Dynamic critical exponent of the Yang--Lee edge singularity at three loops",
  "title_text": "Dynamic critical exponent of the Yang--Lee edge singularity at three loops",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/905qaqnfdzyq0",
  "venue": "arXiv",
  "versions": []
}