Scalar-tensor theories within Asymptotic Safety
Abstract Asymptotic Safety provides an elegant mechanism for obtaining a consistent high-energy completion of gravity and gravity-matter systems. Following the initial idea by Steven Weinberg, the construction builds on an interacting fixed point of the theories renormalization group (RG) flow. In t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2021)001 |
| _version_ | 1818338008588353536 |
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| author | Cristobal Laporte Antonio D. Pereira Frank Saueressig Jian Wang |
| author_facet | Cristobal Laporte Antonio D. Pereira Frank Saueressig Jian Wang |
| author_sort | Cristobal Laporte |
| collection | DOAJ |
| description | Abstract Asymptotic Safety provides an elegant mechanism for obtaining a consistent high-energy completion of gravity and gravity-matter systems. Following the initial idea by Steven Weinberg, the construction builds on an interacting fixed point of the theories renormalization group (RG) flow. In this work we use the Wetterich equation for the effective average action to investigate the RG flow of gravity supplemented by a real scalar field. We give a non-perturbative proof that the subspace of interactions respecting the global shift-symmetry of the scalar kinetic term is closed under RG transformations. Subsequently, we compute the beta functions in an approximation comprising the Einstein-Hilbert action supplemented by the shift-symmetric quartic scalar self-interaction and the two lowest order shift-symmetric interactions coupling scalar-bilinears to the spacetime curvature. The computation utilizes the background field method with an arbitrary background, demonstrating that the results are manifestly background independent. Our beta functions exhibit an interacting fixed point suitable for Asymptotic Safety, where all matter interactions are non-vanishing. The presence of this fixed point is rooted in the interplay of the matter couplings which our work tracks for the first time. The relation of our findings with previous results in the literature is discussed in detail and we conclude with a brief outlook on potential phenomenological applications. |
| first_indexed | 2024-12-13T15:04:17Z |
| format | Article |
| id | doaj.art-7477704f037b4d46b180df29df28334c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T15:04:17Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7477704f037b4d46b180df29df28334c2022-12-21T23:41:03ZengSpringerOpenJournal of High Energy Physics1029-84792021-12-0120211215010.1007/JHEP12(2021)001Scalar-tensor theories within Asymptotic SafetyCristobal Laporte0Antonio D. Pereira1Frank Saueressig2Jian Wang3Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud UniversityInstitute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud UniversityInstitute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud UniversityInstitute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud UniversityAbstract Asymptotic Safety provides an elegant mechanism for obtaining a consistent high-energy completion of gravity and gravity-matter systems. Following the initial idea by Steven Weinberg, the construction builds on an interacting fixed point of the theories renormalization group (RG) flow. In this work we use the Wetterich equation for the effective average action to investigate the RG flow of gravity supplemented by a real scalar field. We give a non-perturbative proof that the subspace of interactions respecting the global shift-symmetry of the scalar kinetic term is closed under RG transformations. Subsequently, we compute the beta functions in an approximation comprising the Einstein-Hilbert action supplemented by the shift-symmetric quartic scalar self-interaction and the two lowest order shift-symmetric interactions coupling scalar-bilinears to the spacetime curvature. The computation utilizes the background field method with an arbitrary background, demonstrating that the results are manifestly background independent. Our beta functions exhibit an interacting fixed point suitable for Asymptotic Safety, where all matter interactions are non-vanishing. The presence of this fixed point is rooted in the interplay of the matter couplings which our work tracks for the first time. The relation of our findings with previous results in the literature is discussed in detail and we conclude with a brief outlook on potential phenomenological applications.https://doi.org/10.1007/JHEP12(2021)001Models of Quantum GravityRenormalization Group |
| spellingShingle | Cristobal Laporte Antonio D. Pereira Frank Saueressig Jian Wang Scalar-tensor theories within Asymptotic Safety Journal of High Energy Physics Models of Quantum Gravity Renormalization Group |
| title | Scalar-tensor theories within Asymptotic Safety |
| title_full | Scalar-tensor theories within Asymptotic Safety |
| title_fullStr | Scalar-tensor theories within Asymptotic Safety |
| title_full_unstemmed | Scalar-tensor theories within Asymptotic Safety |
| title_short | Scalar-tensor theories within Asymptotic Safety |
| title_sort | scalar tensor theories within asymptotic safety |
| topic | Models of Quantum Gravity Renormalization Group |
| url | https://doi.org/10.1007/JHEP12(2021)001 |
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