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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Main Authors: Kevin Falls, Nobuyoshi Ohta, Roberto Percacci
Format: Article
Language:English
Published: Elsevier 2020-11-01
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.
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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
work_keys_str_mv AT kevinfalls towardsthedeterminationofthedimensionofthecriticalsurfaceinasymptoticallysafegravity
AT nobuyoshiohta towardsthedeterminationofthedimensionofthecriticalsurfaceinasymptoticallysafegravity
AT robertopercacci towardsthedeterminationofthedimensionofthecriticalsurfaceinasymptoticallysafegravity