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On the Renormalization in Conformal Quantum Gravity — arXiv:2608.09858

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.09858
License (as archived): CC0-1.0
Archived: 2026-10-19T09:34:39.864Z
SHA-256 of the archived text: e1e10a3b7fc47856edae9c0ef0a2a22ee6a9cc7f87986ae52917807a02b72a02
Stable URL of this page: https://metraipolis.com/documento/dc_ddd8548cd64f

How to cite

On the Renormalization in Conformal Quantum Gravity — arXiv:2608.09858 — arXiv (en), https://arxiv.org/abs/2608.09858 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ddd8548cd64f (Metraipolis archive dc_ddd8548cd64f, sha256 e1e10a3b7fc47856edae9c0ef0a2a22ee6a9cc7f87986ae52917807a02b72a02)

BibTeX

@misc{dcddd8548cd64f,
  title = {On the Renormalization in Conformal Quantum Gravity — arXiv:2608.09858},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.09858},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ddd8548cd64f; sha256 e1e10a3b7fc47856edae9c0ef0a2a22ee6a9cc7f87986ae52917807a02b72a02},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.09858. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

One-loop divergences in classically conformal theory in curved spacetime is a nontrivial issue if the theory under consideration possesses gauge invariance. In this case, quantization involves introducing the gauge-fixing term and the action of ghosts, both of which are not conformal. The formal proof of the conformal invariant renormalizability in this situation, including interacting theories, has been given in the paper from 1984 by one of the present authors. Owing to BRST symmetry, the contributions of the gauge-fixing and ghost sectors to the conformal variation of the effective action cancel each other. This cancellation does not hold in the finite part of the one-loop and higher-loops effective action, that results in the anomaly. In this paper, we extend the early results on conformal matter fields in external gravitational field and apply them to conformal quantum gravity, including the case of conformal gravity coupled to other conformal matter fields. The gauge-fixing in the Weyl-squared gravity is more complicated, nevertheless, the proof of the one-loop conformal invariant renormalization using BRST symmetry is possible. As a preliminary to conformal quantum gravity, we also present a detailed general proof of conformal invariant one-loop divergences in the corresponding semiclassical theory.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-11 in gr-qc).
Categorie arXiv: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2608.09858 — 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 2026-10-19T09:29:47.507Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-08-11?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).