Exploring Reggeon bound states in strongly-coupled N = 4 super Yang-Mills

Abl, Theresa; Sprenger, Martin

Abstract

The multi-Regge limit of scattering amplitudes in strongly-coupled N = 4 super Yang-Mills is described by the large mass limit of a set of thermodynamic Bethe ansatz (TBA) equations. A non-trivial remainder function arises in this setup in certain kinematical regions due to excitations of the TBA equations which appear during the analytic continuation into these kinematical regions. So far, these analytic continuations were carried out on a case-by-case basis for the six- and seven-gluon remainder function. In this note, we show that the set of possible excitations appearing in any analytic continuation in the multi-Regge limit for any number of particles is rather constrained. In particular, we show that the BFKL eigenvalue of any possible Reggeon bound state is a multiple of the two-Reggeon BFKL eigenvalue appearing in the six-gluon case.

Citation

Abl, T., & Sprenger, M. (2022). Exploring Reggeon bound states in strongly-coupled N = 4 super Yang-Mills. Journal of High Energy Physics, 2022(21), Article 21. https://doi.org/10.1007/jhep01%282022%29021

• Journal Article Type: Article
• Acceptance Date: Dec 22, 2021
• Online Publication Date: Jan 7, 2022
• Publication Date: 2022-01
• Deposit Date: Feb 16, 2022
• Publicly Available Date: Feb 16, 2022
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2022
• Issue: 21
• Article Number: 21
• DOI: https://doi.org/10.1007/jhep01%282022%29021
• Public URL: https://durham-repository.worktribe.com/output/1215256