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The S-matrix Bootstrap II: Two Dimensional Amplitudes

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

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Miguel F. Paulos

Joao Penedones

Jonathan Toledo

Balt C. van Rees

Pedro Vieira


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.


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.

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
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2017
Issue 11
Article Number 143


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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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