Cover Image

Topological corrections and conformal backreaction in the Einstein Gauss-Bonnet/Weyl theories of gravity at D = 4

Show other versions (1)

We investigate the gravitational backreaction, generated by coupling a general conformal sector to external, classical gravity, as described by a conformal anomaly effective action. We address the issues raised by the regu larization of the topological Gauss–Bonnet and Weyl terms in these actions an...

Full description

Saved in:
Bibliographic Details
Main Authors: Corianò, Claudio (Author) , Maglio, Matteo Maria (Author) , Theofilopoulos, Dimosthenis (Author)
Format: Article (Journal)
Language:English
Published: 11 December 2022
In: The European physical journal. C, Particles and fields
Year: 2022, Volume: 82, Issue: 12, Pages: 26
ISSN:1434-6052
DOI:10.1140/epjc/s10052-022-11024-2
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1140/epjc/s10052-022-11024-2
Get full text
Author Notes:Claudio Corianò, Matteo Maria Maglio, Dimosthenis Theofilopoulos
Description
Summary:We investigate the gravitational backreaction, generated by coupling a general conformal sector to external, classical gravity, as described by a conformal anomaly effective action. We address the issues raised by the regu larization of the topological Gauss–Bonnet and Weyl terms in these actions and the use of dimensional regularization (DR). We discuss both their local and nonlocal expressions, as possible IR and UV descriptions of conformal theories, below and above the conformal breaking scale. Our discus sion overlaps with several recent studies of dilaton gravities – obtained via a certain singular limit of the Einstein–Gauss– Bonnet (EGB) theory – originally introduced as a way to bypass Lovelock’s theorem. We show that nonlocal, purely gravitational realizations of such EGB theories, quadratic in the dilaton field, beside their local quartic forms, are pos sible, by a finite renormalization of the Euler density. Such nonlocal versions, which are deprived of any scale, can be expanded, at least around flat space, in terms of the combi nation R −1 times multiple variations of the anomaly func tional, as pointed out in recent studies at d = 4. Similar conclusions can be drawn for the proposed nonlocal EGB theory. The expansion emerges from previous investigations of the anomalous conformal Ward identities that constrain such theories around the flat spacetime limit in momentum space
Item Description:Im Titel ist D kursiv dargestellt
Online veröffentlicht: 11 December 2022
Gesehen am 06.09.2023
Physical Description:Online Resource
ISSN:1434-6052
DOI:10.1140/epjc/s10052-022-11024-2

Similar Items