Dimensional regularization of topological terms in dilaton gravity
The possibility of evading Lovelock's theorem at $d=4$, via a singular redefinition of the dimensionless coupling of the Gauss-Bonnet term, has been extensively discussed in the cosmological context. The term is added as a quadratic contribution of the curvature tensor to the Einstein-Hilbert a...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
7 May 2022
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| In: |
Arxiv
Year: 2022, Pages: 1-26 |
| DOI: | 10.48550/arXiv.2205.03535 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2205.03535 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2205.03535 
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| Author Notes: | Claudio Corianò, Mario Cretì, Stefano Lionetti, Matteo Maria Maglio and Riccardo Tommasi |
| Summary: | The possibility of evading Lovelock's theorem at $d=4$, via a singular redefinition of the dimensionless coupling of the Gauss-Bonnet term, has been extensively discussed in the cosmological context. The term is added as a quadratic contribution of the curvature tensor to the Einstein-Hilbert action, originating theories of "Einstein Gauss-Bonnet" (EGB) type. These studies are interlaced with those of the conformal anomaly effective action. We review some basic results concerning the structure of these actions, their conformal constraints around flat space and their relation to EGB theories. The local and nonlocal formulations of such effective actions are illustrated. This class of theories find applications in the seemingly unrelated context of topological materials, subjected to thermal and mechanical stress. |
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| Item Description: | Gesehen am 17.10.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.48550/arXiv.2205.03535 |