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Double copy structure and the flat space limit of conformal correlators in even dimensions

Lipstein, Arthur E.; McFadden, Paul

Double copy structure and the flat space limit of conformal correlators in even dimensions Thumbnail


Authors

Paul McFadden



Abstract

We analyze the flat space limit of 3-point correlators in momentum space for general conformal field theories in even spacetime dimensions, and show they exhibit a double copy structure similar to that found in odd dimensions. In even dimensions, the situation is more complicated because correlators contain branch cuts and divergences which need to be renormalized. We describe the analytic continuation of momenta required to extract the flat space limit, and show that the flat space limit is encoded in the leading singularity of a 1-loop triangle integral which serves as a master integral for 3-point correlators in even dimensions. We then give a detailed analysis of the renormalized correlators in four dimensions where the flat space limit of stress tensor correlators is controlled by the coefficients in the trace anomaly.

Citation

Lipstein, A. E., & McFadden, P. (2020). Double copy structure and the flat space limit of conformal correlators in even dimensions. Physical Review D, 101(12), Article 125006. https://doi.org/10.1103/physrevd.101.125006

Journal Article Type Article
Acceptance Date May 27, 2020
Online Publication Date Jun 8, 2020
Publication Date Jun 15, 2020
Deposit Date Jun 8, 2020
Publicly Available Date Jun 9, 2020
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 101
Issue 12
Article Number 125006
DOI https://doi.org/10.1103/physrevd.101.125006
Publisher URL https://link.aps.org/doi/10.1103/PhysRevD.101.125006

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.





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