Author(s): Paulos, Miguel F. ; Penedones, Joao ; Toledo, Jonathan ; van Rees, Balt C. ; Vieira, Pedro [UNESP]
Date: 2020
Persistent ID: http://hdl.handle.net/11449/199803
Origin: Oasisbr
Subject(s): Nonperturbative Effects; Scattering Amplitudes; Space-Time Symmetries; Nonperturbative Effects; Nonperturbative Effects; Scattering Amplitudes; Scattering Amplitudes; Space-Time Symmetries; Space-Time Symmetries
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We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two identical scalar particles. In the cases where our results can be compared with the older S-matrix literature they are in excellent agreement. We also extremize a cubic coupling in 2+1 dimensions which we can directly compare to a universal bound for a QFT in AdS. This paper generalizes our previous 1+1 dimensional results of [1] and [2].
Theoretical Physics Department CERN
Institute of Physics École Polytechnique Fédérale de Lausanne (EPFL)
Centre for Particle Theory Department of Mathematical Sciences Durham University, Lower Mountjoy, Stockton Road
Perimeter Institute for Theoretical Physics
ICTP South American Institute for Fundamental Research IFT-UNESP
ICTP South American Institute for Fundamental Research IFT-UNESP
