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Perturbatively renormalizable quantum gravity

Perturbatively renormalizable quantum gravity
Perturbatively renormalizable quantum gravity
The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. In particular around the Gaussian fixed point, it supports a Hilbert space of renormalizable interactions involving arbitrarily high powers of the gravitational fluctuations. These interactions are characterised by being exponentially suppressed for large field amplitude, perturbative in Newton’s constant but non-perturbative in Planck’s constant. By taking a limit to the boundary of the Hilbert space, diffeomorphism invariance is recovered whilst retaining renormalizability. Thus the so-called conformal factor instability points the way to constructing a perturbatively renormalizable theory of quantum gravity.
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Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6

Morris, Timothy (2018) Perturbatively renormalizable quantum gravity. International Journal of Modern Physics B, 1-6.

Record type: Article

Abstract

The Wilsonian renormalization group (RG) requires Euclidean signature. The conformal factor of the metric then has a wrong-sign kinetic term, which has a profound effect on its RG properties. In particular around the Gaussian fixed point, it supports a Hilbert space of renormalizable interactions involving arbitrarily high powers of the gravitational fluctuations. These interactions are characterised by being exponentially suppressed for large field amplitude, perturbative in Newton’s constant but non-perturbative in Planck’s constant. By taking a limit to the boundary of the Hilbert space, diffeomorphism invariance is recovered whilst retaining renormalizability. Thus the so-called conformal factor instability points the way to constructing a perturbatively renormalizable theory of quantum gravity.

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Accepted/In Press date: 4 June 2018
e-pub ahead of print date: 5 July 2018
Additional Information: Author confirmed Arxiv record 1804.03834 is AM

Identifiers

Local EPrints ID: 421775
URI: http://eprints.soton.ac.uk/id/eprint/421775
PURE UUID: 4d66de22-d0dd-4792-b08f-5404aa718687
ORCID for Timothy Morris: ORCID iD orcid.org/0000-0001-6256-9962

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Date deposited: 27 Jun 2018 16:30
Last modified: 07 Oct 2020 02:56

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