Inverse scattering and local observable algebras in integrable quantum field theories
type: Item
instance of: scholarly article
title: Inverse scattering and local observable algebras in integrable quantum field theories
zbMATH Open document ID: 1377.81223
author: Sabina Alazzawi
author: Gandalf Lechner
published in: Communications in Mathematical Physics
publication date: 2017-08-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/1608.02359
full work available at URL: 2016 - Alazzawi, Lechner - Inverse Scattering and Locality in Integrable Quantum Field Theories.pdf
review text: The authors present a solution method for an inverse scattering problem for integrable 2-dimensional quantum field theories, specified in terms of a given massive single particle spectrum and a factorizing S-matrix. One allows an arbitrary number of massive particles transforming under a global compact gauge group. Such a way one generalizes the simplest scalar case. The authors construct the 2 particle S-matrix, which is assumed to be an analytic solution of a Young-Baxter equation with properties of unitarity, TCP invariance and cross symmetry. One use methods from operator algebra and complex analysis, obtaining solution for inverse scattering problem. Particularly the diagonal S-matrix and \(O(N)\) invariant nonlinear \(\sigma\)-models satisfy the conditions, one prove.
Mathematics Subject Classification ID: 81U40
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 81R12
Mathematics Subject Classification ID: 16T25
Mathematics Subject Classification ID: 81U20
Mathematics Subject Classification ID: 81R05
Mathematics Subject Classification ID: 46L60
zbMATH DE Number: 6759446
zbMATH Keywords: Inverse scattering problem
zbMATH Keywords: relativistic 2-dimensional quantum field theories
zbMATH Keywords: S-matrix
zbMATH Keywords: gauge theories
zbMATH Keywords: \(\sigma\)-models
reviewed by: Alex B. Gaina
MaRDI profile type: Publication
OpenAlex ID: W3099880594
arXiv ID: 1608.02359
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Inverse scattering and local observable algebras in integrable quantum field theories (DOI)
DOI: 10.1007/S00220-017-2891-0