The S-matrix Bootstrap II: Two Dimensional Amplitudes
High Energy Physics - Theory
2018-01-17 v2
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.
Cite
@article{arxiv.1607.06110,
title = {The S-matrix Bootstrap II: Two Dimensional Amplitudes},
author = {Miguel F. Paulos and Joao Penedones and Jonathan Toledo and Balt C. van Rees and Pedro Vieira},
journal= {arXiv preprint arXiv:1607.06110},
year = {2018}
}
Comments
25+6 pages, 15 figures; v2: minor corrections