{
  "abstract": "The gradient flow provides a gauge- and O(4)-invariant ultraviolet regulator for QCD. This opens new opportunities for combining non-perturbative lattice calculations with perturbative results, in particular in the context of an operator-product expansion (OPE). We review the concepts behind this and argue that, within the operator basis of a given OPE, the flow-time dependence of the conversion between flowed and regular Wilson coefficients is exact at each perturbative order. Recent applications to parton distribution functions, heavy-meson observables, quark masses, and gradient-flow definitions of the strong coupling are discussed. Finally, the perturbative formulation of the Ricci flow in quantum gravity and its application to the study of non-Gaussian fixed points is reviewed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07940",
  "author_total": 2,
  "authors": [
    {
      "name": "R. Harlander"
    },
    {
      "name": "A. Shindler"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ezxmcsxay5dw3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07940",
  "fulltext_url": null,
  "id": "ezxmcsxay5dw3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07940",
  "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",
      "hep-ph"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.07940",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ezxmcsxay5dw3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.07940",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07940"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Recent applications of the gradient flow",
  "title_text": "Recent applications of the gradient flow",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/ezxmcsxay5dw3",
  "venue": "arXiv",
  "versions": []
}