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Background independent exact renormalization group for conformally reduced gravity

Background independent exact renormalization group for conformally reduced gravity
Background independent exact renormalization group for conformally reduced gravity
Within the conformally reduced gravity model, where the metric is parametrised by a function f (φ) of the conformal factor φ, we keep dependence on both the background and fluctuation fields, to local potential approximation and O2) respectively, making no other approximation. Explicit appearances of the background metric are then dictated by realising a remnant diffeomorphism invariance. The standard non-perturbative Renormalization Group (RG) scale k is inherently background dependent, which we show in general forbids the existence of RG fixed points with respect to k. By utilising transformations that follow from combining the flow equations with the modified split Ward identity, we uncover a unique background independent notion of RG scale, kˆ. The corresponding RG flow equations are then not only explicitly background independent along the entire RG flow but also explicitly independent of the form of f. In general f (φ) is forced to be scale dependent and needs to be renormalised, but if this is avoided then k-fixed points are allowed and furthermore they coincide with kˆ-fixed points.
1-47
Dietz, Juergen A.
25b4e470-3534-476d-8844-ada94b16feeb
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Dietz, Juergen A.
25b4e470-3534-476d-8844-ada94b16feeb
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6

Dietz, Juergen A. and Morris, Tim R. (2015) Background independent exact renormalization group for conformally reduced gravity. Journal of High Energy Physics, 2015 (4), 1-47, [118]. (doi:10.1007/JHEP04(2015)118).

Record type: Article

Abstract

Within the conformally reduced gravity model, where the metric is parametrised by a function f (φ) of the conformal factor φ, we keep dependence on both the background and fluctuation fields, to local potential approximation and O2) respectively, making no other approximation. Explicit appearances of the background metric are then dictated by realising a remnant diffeomorphism invariance. The standard non-perturbative Renormalization Group (RG) scale k is inherently background dependent, which we show in general forbids the existence of RG fixed points with respect to k. By utilising transformations that follow from combining the flow equations with the modified split Ward identity, we uncover a unique background independent notion of RG scale, kˆ. The corresponding RG flow equations are then not only explicitly background independent along the entire RG flow but also explicitly independent of the form of f. In general f (φ) is forced to be scale dependent and needs to be renormalised, but if this is avoided then k-fixed points are allowed and furthermore they coincide with kˆ-fixed points.

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More information

Accepted/In Press date: 2 April 2015
e-pub ahead of print date: 22 April 2015
Published date: 22 April 2015
Organisations: Theoretical Partical Physics Group

Identifiers

Local EPrints ID: 401043
URI: http://eprints.soton.ac.uk/id/eprint/401043
PURE UUID: 6a08e792-c134-4a63-8e23-87a9e7276175
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

Catalogue record

Date deposited: 04 Oct 2016 08:29
Last modified: 16 Nov 2021 02:34

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Contributors

Author: Juergen A. Dietz
Author: Tim R. Morris ORCID iD

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