The S-matrix Bootstrap II: Two Dimensional Amplitudes

Wednesday, 20 July, 2016

Published in: 

arXiv:1607.06110

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.

Author(s): 

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