The S-matrix bootstrap II: two dimensional amplitudes

A bstract 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 identi...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2017; no. 11; pp. 1 - 30
Main Authors Paulos, Miguel F., Penedones, Joao, Toledo, Jonathan, van Rees, Balt C., Vieira, Pedro
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2017
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Correlation analysis
Couplings
Elementary Particles
Field Theories in Lower Dimensions
Field theory
High energy physics
Integrable Field Theories
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Field Theories in Lower Dimensions
Scattering Amplitudes
Integrable Field Theories
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2017)143