{
  "abstract": "We examine whether the perturbative renormalization group (RG) regime of stochastic turbulence can be continued from small $\\varepsilon$ to the physical value $\\varepsilon_{\\mathrm{phys}}=2$, corresponding to large-scale forcing. Exploiting the simplifications of the large-$d$ limit, we calculate the correction exponent $ω$ to five-loop order and find a simple structure suggesting a closed analytic form. This form implies that the fixed point stable near $\\varepsilon=0$ ceases to be simultaneously real and infrared stable before reaching $\\varepsilon_{\\mathrm{phys}}=2$, pointing to a possible change of infrared regime rather than a controlled perturbative RG extrapolation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01507",
  "author_total": 4,
  "authors": [
    {
      "name": "L. Ts. Adzhemyan"
    },
    {
      "name": "D. A. Davletbaeva"
    },
    {
      "name": "D. A. Evdokimov"
    },
    {
      "name": "M. V. Kompaniets"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/66whx750c1dak.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01507",
  "fulltext_url": null,
  "id": "66whx750c1dak",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01507",
  "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",
      "2206|Fluid Dynamics and Turbulent Flows"
    ]
  ],
  "openalex": "W7215975291",
  "pdf_url": "https://arxiv.org/pdf/2610.01507",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/66whx750c1dak.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2610.01507",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01507"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Evidence for an Obstruction to Perturbative Renormalization Group in Stochastic Turbulence",
  "title_text": "Evidence for an Obstruction to Perturbative Renormalization Group in Stochastic Turbulence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:03Z",
  "url": "https://research.draconitic.com/paper/66whx750c1dak",
  "venue": "arXiv",
  "versions": []
}