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Renormalised 3-point functions of stress tensors and conserved currents in CFT

Renormalised 3-point functions of stress tensors and conserved currents in CFT
Renormalised 3-point functions of stress tensors and conserved currents in CFT
We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of stress tensors and conserved currents in arbitrary spacetime dimensions. In dimensions three and four, we give explicit results for the renormalised correlators, the anomalous Ward identities they obey, and the conformal anomalies. For the stress tensor 3-point function in four dimensions, we identify the specific evanescent tensorial structure responsible for the type A Euler anomaly, and show this anomaly has the form of a double copy of the chiral anomaly.
1029-8479
1-68
Skenderis, Konstantinos
09f32871-ffb1-4f4a-83bc-df05f4d17a09
McFadden, Paul
4e7762ff-9b96-4516-b333-be01784fdbae
Bzowski, Adam
89bef061-563e-4b14-ac4d-0418692e9992
Skenderis, Konstantinos
09f32871-ffb1-4f4a-83bc-df05f4d17a09
McFadden, Paul
4e7762ff-9b96-4516-b333-be01784fdbae
Bzowski, Adam
89bef061-563e-4b14-ac4d-0418692e9992

Skenderis, Konstantinos, McFadden, Paul and Bzowski, Adam (2018) Renormalised 3-point functions of stress tensors and conserved currents in CFT. Journal of High Energy Physics, 2018 (153), 1-68. (doi:10.1007/JHEP11(2018)153).

Record type: Article

Abstract

We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers all 3-point functions of stress tensors and conserved currents in arbitrary spacetime dimensions. In dimensions three and four, we give explicit results for the renormalised correlators, the anomalous Ward identities they obey, and the conformal anomalies. For the stress tensor 3-point function in four dimensions, we identify the specific evanescent tensorial structure responsible for the type A Euler anomaly, and show this anomaly has the form of a double copy of the chiral anomaly.

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Bzowski 2018 Article Renormalised 3-point Functions - Version of Record
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More information

Accepted/In Press date: 21 October 2018
e-pub ahead of print date: 23 November 2018
Published date: November 2018

Identifiers

Local EPrints ID: 425556
URI: http://eprints.soton.ac.uk/id/eprint/425556
ISSN: 1029-8479
PURE UUID: 878e6f42-45c7-4804-a2b9-003d313fa742
ORCID for Konstantinos Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

Catalogue record

Date deposited: 24 Oct 2018 16:30
Last modified: 17 Dec 2019 01:39

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