The continuum limit of quantum gravity at first order in perturbation theory
The continuum limit of quantum gravity at first order in perturbation theory
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.
BRST Quantization, Models of Quantum Gravity, Renormalization Group
Mitchell, Alex
d6100647-c812-42d9-aa93-504f6fee34eb
Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Mitchell, Alex
d6100647-c812-42d9-aa93-504f6fee34eb
Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Mitchell, Alex and Morris, Timothy
(2020)
The continuum limit of quantum gravity at first order in perturbation theory.
Journal of High Energy Physics, 2020 (6), [138].
(doi:10.1007/JHEP06(2020)138).
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.
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The continuum limit of quantum gravity at first order in perturbation theory
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Mitchell-Morris2020_Article_TheContinuumLimitOfQuantumGrav
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Accepted/In Press date: 28 May 2020
e-pub ahead of print date: 23 June 2020
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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
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Keywords:
BRST Quantization, Models of Quantum Gravity, Renormalization Group
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Local EPrints ID: 442879
URI: http://eprints.soton.ac.uk/id/eprint/442879
ISSN: 1029-8479
PURE UUID: 9ce853cc-bda5-42e1-a37b-029e7cea84d7
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Date deposited: 30 Jul 2020 16:30
Last modified: 17 Mar 2024 02:34
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Alex Mitchell
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