Background independence in a background dependent renormalization group
Background independence in a background dependent renormalization group
Within the derivative expansion of conformally reduced gravity, the modified split Ward identities are shown to be compatible with the flow equations if and only if either the anomalous dimension vanishes or the cutoff profile is chosen to have a power-law form. No solutions exist if the Ward identities are incompatible. In the compatible case, a clear reason is found for why Ward identities can still forbid the existence of fixed points; however, for any cutoff profile, a background independent (and parametrization independent) flow equation is uncovered. Finally, expanding in vertices, the combined equations are shown generically to become either overconstrained or highly redundant beyond the six-point level.
Labus, Peter
3a5fe5c5-0592-4a6b-82f1-f7f63110bdf9
Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Slade, Zoe H.
bdf0251b-0bc5-47e0-99c6-7231e1149ab7
6 July 2016
Labus, Peter
3a5fe5c5-0592-4a6b-82f1-f7f63110bdf9
Morris, Timothy
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Slade, Zoe H.
bdf0251b-0bc5-47e0-99c6-7231e1149ab7
Labus, Peter, Morris, Timothy and Slade, Zoe H.
(2016)
Background independence in a background dependent renormalization group.
Physical Review D, 94 (2), [024007].
(doi:10.1103/PhysRevD.94.024007).
Abstract
Within the derivative expansion of conformally reduced gravity, the modified split Ward identities are shown to be compatible with the flow equations if and only if either the anomalous dimension vanishes or the cutoff profile is chosen to have a power-law form. No solutions exist if the Ward identities are incompatible. In the compatible case, a clear reason is found for why Ward identities can still forbid the existence of fixed points; however, for any cutoff profile, a background independent (and parametrization independent) flow equation is uncovered. Finally, expanding in vertices, the combined equations are shown generically to become either overconstrained or highly redundant beyond the six-point level.
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Submitted date: 10 May 2016
Accepted/In Press date: 30 June 2016
e-pub ahead of print date: 6 July 2016
Published date: 6 July 2016
Identifiers
Local EPrints ID: 430129
URI: http://eprints.soton.ac.uk/id/eprint/430129
ISSN: 1550-7998
PURE UUID: dc38439c-80c4-4381-a147-fa20ef8610df
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Date deposited: 12 Apr 2019 16:30
Last modified: 16 Mar 2024 02:36
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Author:
Peter Labus
Author:
Zoe H. Slade
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