The S-matrix Bootstrap II: Two Dimensional Amplitudes

Paulos, Miguel F.; Penedones, Joao; Toledo, Jonathan; van Rees, Balt C.; Vieira, Pedro

Abstract

We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. In this way we establish rigorous bounds on the cubic couplings of a given theory with a fixed mass spectrum. In special cases we identify interesting integrable theories saturating these bounds. Our analytic bounds match precisely with numerical bounds obtained in a companion paper where we consider massive QFT in an AdS box and study boundary correlators using the technology of the conformal bootstrap.

Citation

Paulos, M. F., Penedones, J., Toledo, J., van Rees, B. C., & Vieira, P. (2017). The S-matrix Bootstrap II: Two Dimensional Amplitudes. Journal of High Energy Physics, 2017(11), Article 143. https://doi.org/10.1007/jhep11%282017%29143

• Journal Article Type: Article
• Acceptance Date: Nov 1, 2017
• Online Publication Date: Nov 22, 2017
• Publication Date: Nov 22, 2017
• Deposit Date: Feb 1, 2017
• Publicly Available Date: Dec 13, 2017
• 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: 2017
• Issue: 11
• Article Number: 143
• DOI: https://doi.org/10.1007/jhep11%282017%29143
• Public URL: https://durham-repository.worktribe.com/output/1365360