The continuum limit of quantum gravity at first order in perturbation theory
Abstract The Wilsonian renormalization group (RG) properties of the conformal factor of the metric are profoundly altered by the fact that it has a wrong-sign kinetic term. The result is a novel perturbative continuum limit for quantum gravity, which is however non-perturbative in ħ. The ultraviolet...
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Online Access: | http://link.springer.com/article/10.1007/JHEP06(2020)138 |
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doaj-975c30c1fd2b47ac8ce4fa905b0a32f22020-11-25T03:16:28ZengSpringerOpenJournal of High Energy Physics1029-84792020-06-012020614110.1007/JHEP06(2020)138The continuum limit of quantum gravity at first order in perturbation theoryAlex Mitchell0Tim R. Morris1STAG Research Centre & Department of Physics and Astronomy, University of SouthamptonSTAG Research Centre & Department of Physics and Astronomy, University of SouthamptonAbstract The Wilsonian renormalization group (RG) properties of the conformal factor of the metric are profoundly altered by the fact that it has a wrong-sign kinetic term. The result is a novel perturbative continuum limit for quantum gravity, which is however non-perturbative in ħ. The ultraviolet part of the renormalized trajectory lies outside the diffeomorphism invariant subspace, entering this subspace only in the infrared, below a dynamically generated amplitude suppression scale. Interactions are dressed with coefficient functions of the conformal factor, their form being determined by the RG. In the ultraviolet, the coefficient functions are parametrised by an infinite number of underlying couplings. Choosing these couplings appropriately, the coefficient functions trivialise on entering the diffeomorphism invariant subspace. Here, dynamically generated effective diffeomorphism couplings emerge, including Newton’s constant. In terms of the Legendre effective action, we establish the continuum limit to first order, characterising the most general form of such coefficient functions so as to verify universality.http://link.springer.com/article/10.1007/JHEP06(2020)138Models of Quantum GravityRenormalization GroupBRST Quantization |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Alex Mitchell Tim R. Morris |
spellingShingle |
Alex Mitchell Tim R. Morris The continuum limit of quantum gravity at first order in perturbation theory Journal of High Energy Physics Models of Quantum Gravity Renormalization Group BRST Quantization |
author_facet |
Alex Mitchell Tim R. Morris |
author_sort |
Alex Mitchell |
title |
The continuum limit of quantum gravity at first order in perturbation theory |
title_short |
The continuum limit of quantum gravity at first order in perturbation theory |
title_full |
The continuum limit of quantum gravity at first order in perturbation theory |
title_fullStr |
The continuum limit of quantum gravity at first order in perturbation theory |
title_full_unstemmed |
The continuum limit of quantum gravity at first order in perturbation theory |
title_sort |
continuum limit of quantum gravity at first order in perturbation theory |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-06-01 |
description |
Abstract The Wilsonian renormalization group (RG) properties of the conformal factor of the metric are profoundly altered by the fact that it has a wrong-sign kinetic term. The result is a novel perturbative continuum limit for quantum gravity, which is however non-perturbative in ħ. The ultraviolet part of the renormalized trajectory lies outside the diffeomorphism invariant subspace, entering this subspace only in the infrared, below a dynamically generated amplitude suppression scale. Interactions are dressed with coefficient functions of the conformal factor, their form being determined by the RG. In the ultraviolet, the coefficient functions are parametrised by an infinite number of underlying couplings. Choosing these couplings appropriately, the coefficient functions trivialise on entering the diffeomorphism invariant subspace. Here, dynamically generated effective diffeomorphism couplings emerge, including Newton’s constant. In terms of the Legendre effective action, we establish the continuum limit to first order, characterising the most general form of such coefficient functions so as to verify universality. |
topic |
Models of Quantum Gravity Renormalization Group BRST Quantization |
url |
http://link.springer.com/article/10.1007/JHEP06(2020)138 |
work_keys_str_mv |
AT alexmitchell thecontinuumlimitofquantumgravityatfirstorderinperturbationtheory AT timrmorris thecontinuumlimitofquantumgravityatfirstorderinperturbationtheory AT alexmitchell continuumlimitofquantumgravityatfirstorderinperturbationtheory AT timrmorris continuumlimitofquantumgravityatfirstorderinperturbationtheory |
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