{
  "abstract": "We consider a quadratic gravity model supplemented by the terms $\\nabla_μR\\nabla^μR$ and $(\\nabla^{2}R)^2$. For specific relations among the coupling constants, the action takes a perfect-square form. In the spatially flat FLRW model, we perform a reduction to a dynamical variable invariant under time reparameterizations. We construct a nonlinear change of variable that transforms the reduced action into the Gaussian action associated with the Wiener measure. An analysis of the transformation Jacobian within a time discretization singles out the case of $7+1$-dimensional spacetime, in which the Jacobian of the discrete transformation under consideration is independent of the dynamical variable. On this basis, we propose a formal representation of expectation values of observables in the reduced model as integrals with respect to the Wiener measure.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37780",
  "author_total": 2,
  "authors": [
    {
      "name": "Vsevolod Chistiakov"
    },
    {
      "name": "Artur Mingaleev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a9gz56738aqxy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37780",
  "fulltext_url": null,
  "id": "a9gz56738aqxy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37780",
  "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/2610.37780",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a9gz56738aqxy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.37780",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37780"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "On a model of quantum quadratic gravity in 7 + 1-dimensional spacetime",
  "title_text": "On a model of quantum quadratic gravity in 7 + 1-dimensional spacetime",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:44Z",
  "url": "https://research.draconitic.com/paper/a9gz56738aqxy",
  "venue": "arXiv",
  "versions": []
}