{
  "abstract": "We compute the one-loop beta functions of quadratic gravity in Weyl conformal geometry, the gauge theory of diffeomorphisms and dilatations with a dynamical Weyl gauge boson. The divergences are extracted diagrammatically in the background field method, with a gauge fixing procedure adapted to the semidirect product structure of the gauge group. The Weyl-tensor coupling and the Weyl gauge coupling are asymptotically free, and the running of the latter is special, being independent of the other couplings and of any two-derivative matter content. The obstruction to an ultraviolet completion comes from the square of a Weyl-covariant curvature scalar, denoted $\\widehat{R}{}^2$: the flow of the corresponding coupling has no fixed point in the physically interesting region and becomes trivial, the only real fixed points require a decoupled Weyl boson and a tachyonic scalar mode. This also holds when including the Standard Model with any nonminimal Higgs coupling and, more generally, for any matter with two-derivative kinetic terms. Weyl-invariant four-derivative scalars with a sufficiently large coupling to $\\widehat{R}{}^2$ can remove the obstruction, producing a fixed point in the physical region that is ultraviolet attractive in all directions and has a nonvanishing Weyl gauge coupling.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40769",
  "author_total": 4,
  "authors": [
    {
      "name": "Diego Buccio"
    },
    {
      "name": "Fabrizio Chicconi"
    },
    {
      "name": "Luca Parente"
    },
    {
      "name": "Omar Zanusso"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/72ewj66qxdnbw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40769",
  "fulltext_url": null,
  "id": "72ewj66qxdnbw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40769",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40769",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/72ewj66qxdnbw.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.40769",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40769"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "The running of Weyl gauged gravity: asymptotic freedom, its obstruction, and a way out",
  "title_text": "The running of Weyl gauged gravity: asymptotic freedom, its obstruction, and a way out",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/72ewj66qxdnbw",
  "venue": "arXiv",
  "versions": []
}