Author(s):
Córdova, Lucía ; He, Yifei ; Kruczenski, Martin ; Vieira, Pedro [UNESP]
Date: 2020
Persistent ID: http://hdl.handle.net/11449/200318
Origin: Oasisbr
Subject(s): Field Theories in Lower Dimensions; Integrable Field Theories; Nonperturbative Effects; Scattering Amplitudes; Field Theories in Lower Dimensions; Field Theories in Lower Dimensions; Integrable Field Theories; Integrable Field Theories; Nonperturbative Effects; Nonperturbative Effects; Scattering Amplitudes; Scattering Amplitudes
Description
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We consider the scattering matrices of massive quantum field theories with no bound states and a global O(N) symmetry in two spacetime dimensions. In particular we explore the space of two-to-two S-matrices of particles of mass m transforming in the vector representation as restricted by the general conditions of unitarity, crossing, analyticity and O(N) symmetry. We found a rich structure in that space by using convex maximization and in particular its convex dual minimization problem. At the boundary of the allowed space special geometric points such as vertices were found to correspond to integrable models. The dual convex minimization problem provides a novel and useful approach to the problem allowing, for example, to prove that generically the S-matrices so obtained saturate unitarity and, in some cases, that they are at vertices of the allowed space.
Perimeter Institute for Theoretical Physics
Department of Physics and Astronomy & Guelph-Waterloo Physics Institute University of Waterloo
Institut de Physique Théorique, CEA Saclay
Department of Physics and Astronomy Purdue University
Purdue Quantum Science and Engineering Institute (PQSEI) Purdue University
Instituto de Física Teórica UNESP ICTP South American Institute for Fundamental Research
Philippe Meyer Institute Physics Department École Normale Suṕerieure PSL Research University, 24 rue Lhomond
Instituto de Física Teórica UNESP ICTP South American Institute for Fundamental Research
