Fixed point structure of the conformal factor field in quantum gravity
Fixed point structure of the conformal factor field in quantum gravity
The O(?2) background-independent flow equations for conformally reduced gravity are shown to be equivalent to flow equations naturally adapted to scalar field theory with a wrong-sign kinetic term. This sign change is shown to have a profound effect on the renormalization group properties, broadly resulting in a continuum of fixed points supporting both a discrete and a continuous eigenoperator spectrum, the latter always including relevant directions. The properties at the Gaussian fixed point are understood in particular depth, but also detailed studies of the local potential approximation, and the full O(?2) approximation are given. These results are related to evidence for asymptotic safety found by other authors.
1-30
Dietz, Juergen
87f38f9f-68d1-4011-a403-1a38ada74430
Morris, Tim
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Slade, Zoe
bdf0251b-0bc5-47e0-99c6-7231e1149ab7
Dietz, Juergen
87f38f9f-68d1-4011-a403-1a38ada74430
Morris, Tim
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Slade, Zoe
bdf0251b-0bc5-47e0-99c6-7231e1149ab7
Dietz, Juergen, Morris, Tim and Slade, Zoe
(2016)
Fixed point structure of the conformal factor field in quantum gravity.
Physical Review D, 94 (124014), .
(doi:10.1103/PhysRevD.94.124014).
Abstract
The O(?2) background-independent flow equations for conformally reduced gravity are shown to be equivalent to flow equations naturally adapted to scalar field theory with a wrong-sign kinetic term. This sign change is shown to have a profound effect on the renormalization group properties, broadly resulting in a continuum of fixed points supporting both a discrete and a continuous eigenoperator spectrum, the latter always including relevant directions. The properties at the Gaussian fixed point are understood in particular depth, but also detailed studies of the local potential approximation, and the full O(?2) approximation are given. These results are related to evidence for asymptotic safety found by other authors.
Text
Fixed point structure of the conformal factor.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 15 November 2016
e-pub ahead of print date: 9 December 2016
Organisations:
Theoretical Partical Physics Group
Identifiers
Local EPrints ID: 403011
URI: http://eprints.soton.ac.uk/id/eprint/403011
ISSN: 1550-7998
PURE UUID: 64de8b2c-00fd-4717-9233-8e13708b361a
Catalogue record
Date deposited: 21 Nov 2016 16:21
Last modified: 16 Mar 2024 02:36
Export record
Altmetrics
Contributors
Author:
Juergen Dietz
Author:
Zoe Slade
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
