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

• Verfasst von: Corianò, Claudio [VerfasserIn]
• Verfasst von: Maglio, Matteo Maria [VerfasserIn]
• Verfasst von: Theofilopoulos, Dimosthenis [VerfasserIn]
• Titel: Topological corrections and conformal backreaction in the Einstein Gauss-Bonnet/Weyl theories of gravity at D = 4
• Verf.angabe: Claudio Corianò, Matteo Maria Maglio, Dimosthenis Theofilopoulos
• E-Jahr: 2022
• Jahr: 11 December 2022
• Umfang: 1-26
• Fussnoten: Im Titel ist D kursiv dargestellt ; Online veröffentlicht: 11 December 2022 ; Gesehen am 06.09.2023
• Titel Quelle: Enthalten in: The European physical journal / C
• Ort Quelle: Berlin : Springer, 1998
• Jahr Quelle: 2022
• Band/Heft Quelle: 82(2022), 12, Artikel-ID 1121, Seite 26
• ISSN Quelle: 1434-6052
• DOI: doi:10.1140/epjc/s10052-022-11024-2
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1858882575

Abstract

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