Einstein Gauss-Bonnet theories as ordinary, Wess-Zumino conformal anomaly actions
Recently, 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 very extensively discussed in the cosmological context. The term is added as a quadratic contribution of the curvature tensor to the Einst...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-05-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S037026932200154X |
| _version_ | 1819061791073763328 |
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| author | Claudio Corianò Matteo Maria Maglio |
| author_facet | Claudio Corianò Matteo Maria Maglio |
| author_sort | Claudio Corianò |
| collection | DOAJ |
| description | Recently, 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 very 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. We point out that the action obtained by the dimensional regularization procedure, implemented with the extraction of a single conformal factor, correspond just to an ordinary Wess-Zumino anomaly action, even though it is deprived of the contribution from the Weyl tensor. We also show that a purely gravitational version of the EGB theory can be generated by allowing a finite renormalization of the Gauss-Bonnet topological contribution at d=4+ϵ, as pointed out by Mazur and Mottola. The result is an effective action which is quadratic, rather then quartic, in the dilaton field, and scale free, compared to the previous derivations. The dilaton, in this case can be removed from the spectrum, leaving a pure gravitational theory, which is nonlocal. We comment on the physical meaning of the two types of actions, which may be used to describe such topological terms both below and above the conformal breaking scale. |
| first_indexed | 2024-12-21T14:48:30Z |
| format | Article |
| id | doaj.art-a2d21cc1b27240f5ae2d8bc4fa3b0fe5 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T14:48:30Z |
| publishDate | 2022-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-a2d21cc1b27240f5ae2d8bc4fa3b0fe52022-12-21T18:59:56ZengElsevierPhysics Letters B0370-26932022-05-01828137020Einstein Gauss-Bonnet theories as ordinary, Wess-Zumino conformal anomaly actionsClaudio Corianò0Matteo Maria Maglio1Dipartimento di Matematica e Fisica, Università del Salento and INFN Sezione di Lecce, Via Arnesano, 73100 Lecce, Italy; Corresponding author.Galileo Galilei Institute for Theoretical Physics, Largo Enrico Fermi 2, I-50125 Firenze, Italy; Institute for Theoretical Physics (ITP), University of Heidelberg, Philosophenweg 16, 69120 Heidelberg, GermanyRecently, 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 very 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. We point out that the action obtained by the dimensional regularization procedure, implemented with the extraction of a single conformal factor, correspond just to an ordinary Wess-Zumino anomaly action, even though it is deprived of the contribution from the Weyl tensor. We also show that a purely gravitational version of the EGB theory can be generated by allowing a finite renormalization of the Gauss-Bonnet topological contribution at d=4+ϵ, as pointed out by Mazur and Mottola. The result is an effective action which is quadratic, rather then quartic, in the dilaton field, and scale free, compared to the previous derivations. The dilaton, in this case can be removed from the spectrum, leaving a pure gravitational theory, which is nonlocal. We comment on the physical meaning of the two types of actions, which may be used to describe such topological terms both below and above the conformal breaking scale.http://www.sciencedirect.com/science/article/pii/S037026932200154X |
| spellingShingle | Claudio Corianò Matteo Maria Maglio Einstein Gauss-Bonnet theories as ordinary, Wess-Zumino conformal anomaly actions Physics Letters B |
| title | Einstein Gauss-Bonnet theories as ordinary, Wess-Zumino conformal anomaly actions |
| title_full | Einstein Gauss-Bonnet theories as ordinary, Wess-Zumino conformal anomaly actions |
| title_fullStr | Einstein Gauss-Bonnet theories as ordinary, Wess-Zumino conformal anomaly actions |
| title_full_unstemmed | Einstein Gauss-Bonnet theories as ordinary, Wess-Zumino conformal anomaly actions |
| title_short | Einstein Gauss-Bonnet theories as ordinary, Wess-Zumino conformal anomaly actions |
| title_sort | einstein gauss bonnet theories as ordinary wess zumino conformal anomaly actions |
| url | http://www.sciencedirect.com/science/article/pii/S037026932200154X |
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