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

Lipstein, Arthur E.; McFadden, Paul

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
• Public URL: https://durham-repository.worktribe.com/output/1263124
• Publisher URL: https://link.aps.org/doi/10.1103/PhysRevD.101.125006