Towards the determination of the dimension of the critical surface in asymptotically safe gravity
We compute the beta functions of Higher Derivative Gravity within the Functional Renormalization Group approach, going beyond previously studied approximations. We find that the presence of a nontrivial Newtonian coupling induces, in addition to the free fixed point of the one-loop approximation, al...
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Format: | Article |
Language: | English |
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Elsevier
2020-11-01
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Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320305761 |
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author | Kevin Falls Nobuyoshi Ohta Roberto Percacci |
author_facet | Kevin Falls Nobuyoshi Ohta Roberto Percacci |
author_sort | Kevin Falls |
collection | DOAJ |
description | We compute the beta functions of Higher Derivative Gravity within the Functional Renormalization Group approach, going beyond previously studied approximations. We find that the presence of a nontrivial Newtonian coupling induces, in addition to the free fixed point of the one-loop approximation, also two nontrivial fixed points, of which one has the right signs to be free from tachyons. Our results are consistent with earlier suggestions that the dimension of the critical surface for pure gravity is three. |
first_indexed | 2024-12-11T01:33:40Z |
format | Article |
id | doaj.art-7a8cd292bbeb4cf197fd8bf01d1e8ff6 |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-12-11T01:33:40Z |
publishDate | 2020-11-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
spelling | doaj.art-7a8cd292bbeb4cf197fd8bf01d1e8ff62022-12-22T01:25:18ZengElsevierPhysics Letters B0370-26932020-11-01810135773Towards the determination of the dimension of the critical surface in asymptotically safe gravityKevin Falls0Nobuyoshi Ohta1Roberto Percacci2International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy; INFN, Sezione di Trieste, Italy; Corresponding author.Department of Physics, Kindai University, Higashi-Osaka, Osaka 577-8502, JapanInternational School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy; INFN, Sezione di Trieste, ItalyWe compute the beta functions of Higher Derivative Gravity within the Functional Renormalization Group approach, going beyond previously studied approximations. We find that the presence of a nontrivial Newtonian coupling induces, in addition to the free fixed point of the one-loop approximation, also two nontrivial fixed points, of which one has the right signs to be free from tachyons. Our results are consistent with earlier suggestions that the dimension of the critical surface for pure gravity is three.http://www.sciencedirect.com/science/article/pii/S0370269320305761 |
spellingShingle | Kevin Falls Nobuyoshi Ohta Roberto Percacci Towards the determination of the dimension of the critical surface in asymptotically safe gravity Physics Letters B |
title | Towards the determination of the dimension of the critical surface in asymptotically safe gravity |
title_full | Towards the determination of the dimension of the critical surface in asymptotically safe gravity |
title_fullStr | Towards the determination of the dimension of the critical surface in asymptotically safe gravity |
title_full_unstemmed | Towards the determination of the dimension of the critical surface in asymptotically safe gravity |
title_short | Towards the determination of the dimension of the critical surface in asymptotically safe gravity |
title_sort | towards the determination of the dimension of the critical surface in asymptotically safe gravity |
url | http://www.sciencedirect.com/science/article/pii/S0370269320305761 |
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