The S-matrix bootstrap. Part III: higher 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 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two identical scalar particles. In the cases where our results can be compared with the older S-matrix literature they are in excellent agreement. We also extremize a cubic coupling in 2+1 dimensions which we can directly compare to a universal bound for a QFT in AdS. This paper generalizes our previous 1+1 dimensional results of [1] and [2].

Citation

Paulos, M. F., Penedones, J., Toledo, J., van Rees, B. C., & Vieira, P. (2019). The S-matrix bootstrap. Part III: higher dimensional amplitudes. Journal of High Energy Physics, 2019(12), Article 40. https://doi.org/10.1007/jhep12%282019%29040

• Journal Article Type: Article
• Acceptance Date: Nov 6, 2019
• Online Publication Date: Dec 4, 2019
• Publication Date: Dec 31, 2019
• Deposit Date: Dec 10, 2019
• Publicly Available Date: Dec 10, 2019
• 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: 2019
• Issue: 12
• Article Number: 40
• DOI: https://doi.org/10.1007/jhep12%282019%29040
• Public URL: https://durham-repository.worktribe.com/output/1281812