Author(s): Paulos, Miguel F. ; Penedones, Joao ; Toledo, Jonathan ; van Rees, Balt C. ; Vieira, Pedro [UNESP]
Date: 2018
Persistent ID: http://hdl.handle.net/11449/175596
Origin: Oasisbr
Subject(s): Field Theories in Lower Dimensions; Integrable Field Theories; Scattering Amplitudes; Field Theories in Lower Dimensions; Field Theories in Lower Dimensions; Integrable Field Theories; Integrable Field Theories; Scattering Amplitudes; Scattering Amplitudes
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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.
Theoretical Physics Department CERN
Institute of Physics École Polytechnique Fédérale de Lausanne
Centro de Física do Porto Departamento de Física e Astronomia Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687
Perimeter Institute for Theoretical Physics
Centre for Particle Theory Department of Mathematical Sciences Durham University, Lower Mountjoy, Stockton Road
ICTP South American Institute for Fundamental Research IFT-UNESP
ICTP South American Institute for Fundamental Research IFT-UNESP
