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The running of Weyl gauged gravity: asymptotic freedom, its obstruction, and a way out — arXiv:2610.40769

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.40769
License (as archived): CC0-1.0
Archived: 2026-11-02T08:12:23.129Z
SHA-256 of the archived text: fc21c3961a5cddbc2f5de7817de8e1c0c1b5a286186f10eb224b62218dc700f5
Stable URL of this page: https://metraipolis.com/documento/dc_7e6447dcdce3

How to cite

The running of Weyl gauged gravity: asymptotic freedom, its obstruction, and a way out — arXiv:2610.40769 — arXiv (en), https://arxiv.org/abs/2610.40769 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_7e6447dcdce3 (Metraipolis archive dc_7e6447dcdce3, sha256 fc21c3961a5cddbc2f5de7817de8e1c0c1b5a286186f10eb224b62218dc700f5)

BibTeX

@misc{dc7e6447dcdce3,
  title = {The running of Weyl gauged gravity: asymptotic freedom, its obstruction, and a way out — arXiv:2610.40769},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.40769},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_7e6447dcdce3; sha256 fc21c3961a5cddbc2f5de7817de8e1c0c1b5a286186f10eb224b62218dc700f5},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.40769. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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.

Tema degli esploratori: fisica e astronomia (elenco arXiv gr-qc, nuovi lavori del giorno).
Categorie arXiv: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2610.40769 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-02T07:50:15.685Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).