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Conformal anomaly from gauge fields without gauge fixing

Conformal anomaly from gauge fields without gauge fixing
Conformal anomaly from gauge fields without gauge fixing

We show how the Weyl anomaly generated by gauge fields, can be computed from manifestly gauge invariant and diffeomorphism invariant exact renormalization group equations, without having to fix the gauge at any stage. Regularization is provided by covariant higher derivatives and by embedding the Maxwell field into a spontaneously broken U(1|1) supergauge theory. We first provide a realization that leaves behind two versions of the original U(1) gauge field, and then construct a manifestly U(1|1) supergauge invariant flow equation which leaves behind only the original Maxwell field in the spontaneously broken regime.

2470-0010
Falls, Kevin
2511c01a-cb52-4ba4-a81f-f9aaf22cc975
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Falls, Kevin
2511c01a-cb52-4ba4-a81f-f9aaf22cc975
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6

Falls, Kevin and Morris, Tim R. (2018) Conformal anomaly from gauge fields without gauge fixing. Physical Review D, 97 (6), [065013]. (doi:10.1103/PhysRevD.97.065013).

Record type: Article

Abstract

We show how the Weyl anomaly generated by gauge fields, can be computed from manifestly gauge invariant and diffeomorphism invariant exact renormalization group equations, without having to fix the gauge at any stage. Regularization is provided by covariant higher derivatives and by embedding the Maxwell field into a spontaneously broken U(1|1) supergauge theory. We first provide a realization that leaves behind two versions of the original U(1) gauge field, and then construct a manifestly U(1|1) supergauge invariant flow equation which leaves behind only the original Maxwell field in the spontaneously broken regime.

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Conformal anomaly from gauge �elds without - Accepted Manuscript
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More information

Accepted/In Press date: 15 March 2018
e-pub ahead of print date: 19 March 2018
Additional Information: AM added. Record should now be complete.

Identifiers

Local EPrints ID: 419636
URI: http://eprints.soton.ac.uk/id/eprint/419636
ISSN: 2470-0010
PURE UUID: 4768b8c8-13ed-44a6-b2a5-14728c94d7b4
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

Catalogue record

Date deposited: 17 Apr 2018 16:30
Last modified: 22 Nov 2021 02:34

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Contributors

Author: Kevin Falls
Author: Tim R. Morris ORCID iD

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