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.
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Dietz, Juergen
87f38f9f-68d1-4011-a403-1a38ada74430
Morris, Tim
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Slade, Zoe
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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.
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Fixed point structure of the conformal factor.pdf
- Accepted Manuscript
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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
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Date deposited: 21 Nov 2016 16:21
Last modified: 21 Aug 2025 04:49
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Author:
Juergen Dietz
Author:
Zoe Slade
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