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arXiv · 1607.06110

The S-matrix Bootstrap II: Two Dimensional Amplitudes

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

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Miguel F. Paulos, Joao Penedones, Jonathan Toledo, Balt C. van Rees, Pedro Vieira. 2017-08-22. The S-matrix Bootstrap II: Two Dimensional Amplitudes. https://doi.org/10.1007/jhep11(2017)143

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