{
  "abstract": "We investigate asymptotically Weyl-invariant gravity (AWIG) in the Palatini formulation, defined by an exponent n that interpolates between an Einstein-like infrared regime, where n goes to one, and a Weyl-invariant ultraviolet regime, where n goes to two. In four dimensions, we show that exact Weyl invariance within the minimal scalar Palatini f(R) sector uniquely selects the R^2 action as the ultraviolet endpoint. Interpreting the exponent as an effective curvature-dependent quantity, we constrain a phenomenological class of smooth autonomous flows compatible with the required infrared and ultraviolet endpoints. We then analyse the strict ultraviolet theory. On the regular branch R not equal to zero, and within a restricted torsionless, parity-even sector constructed purely from curvature, all admissible divergent on-shell counterterms reduce at arbitrary loop order to the original \\sqrt{-g}R^2 term plus a topological Euler density. Although this conditional result does not establish full off-shell perturbative renormalizability, it provides nontrivial evidence for improved ultraviolet behaviour relative to Einstein gravity and identifies a concrete target for a future first-principles renormalization-group calculation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Class. Quantum Grav. 43 (2026) 185006",
  "arxiv": "2609.01047",
  "author_total": 1,
  "authors": [
    {
      "name": "Daniel Coumbe"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/75zjv760tgbgk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01047",
  "fulltext_url": null,
  "id": "75zjv760tgbgk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01047",
  "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",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.01047",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/75zjv760tgbgk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.01047",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01047"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Ultraviolet Closure in Asymptotically Weyl-Invariant Gravity",
  "title_text": "Ultraviolet Closure in Asymptotically Weyl-Invariant Gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/75zjv760tgbgk",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1088/1361-6382/aea465",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}