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Renormalization group properties of the conformal mode of a torus

Renormalization group properties of the conformal mode of a torus
Renormalization group properties of the conformal mode of a torus
The Wilsonian renormalization group properties of the conformal factor of the metric are profoundly altered by the fact that it has a wrong-sign kinetic term. If couplings are chosen so that the quantum field theory exists on , it fails to exist on manifolds below a certain size, if a certain universal shape function turns negative. We demonstrate that this is triggered by inhomogeneity in the cases of and , including twisted versions. Varying the moduli, we uncover a rich phenomenology.
0264-9381
Kellett, Matthew P.
45588983-7fa8-4eb1-abdf-f782d3bfe6ad
Morris, Timothy R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Kellett, Matthew P.
45588983-7fa8-4eb1-abdf-f782d3bfe6ad
Morris, Timothy R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6

Kellett, Matthew P. and Morris, Timothy R. (2018) Renormalization group properties of the conformal mode of a torus. Classical and Quantum Gravity, 35, [0175002]. (doi:10.1088/1361-6382/aad06e).

Record type: Article

Abstract

The Wilsonian renormalization group properties of the conformal factor of the metric are profoundly altered by the fact that it has a wrong-sign kinetic term. If couplings are chosen so that the quantum field theory exists on , it fails to exist on manifolds below a certain size, if a certain universal shape function turns negative. We demonstrate that this is triggered by inhomogeneity in the cases of and , including twisted versions. Varying the moduli, we uncover a rich phenomenology.

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Accepted/In Press date: 2 July 2018
e-pub ahead of print date: 23 July 2018
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Identifiers

Local EPrints ID: 422816
URI: http://eprints.soton.ac.uk/id/eprint/422816
DOI: doi:10.1088/1361-6382/aad06e
ISSN: 0264-9381
PURE UUID: e8a01dd2-a051-472a-9433-de629ca92e27
ORCID for Matthew P. Kellett: ORCID iD orcid.org/0000-0001-9573-4127
ORCID for Timothy R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

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Date deposited: 06 Aug 2018 16:30
Last modified: 16 Mar 2024 06:56

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Author: Matthew P. Kellett ORCID iD
Author: Timothy R. Morris ORCID iD

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