Inverse scattering and locality in integrable quantum field theories

Alazzawi, Sabina and Lechner, Gandalf ORCID: https://orcid.org/0000-0002-8829-3121 2017. Inverse scattering and locality in integrable quantum field theories. Communications in Mathematical Physics 354 (3) , pp. 913-956. 10.1007/s00220-017-2891-0

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Abstract

We present a solution method for the inverse scattering problem for integrable two-dimensional relativistic quantum field theories, specified in terms of a given massive single particle spectrum and a factorizing S-matrix. An arbitrary number of massive particles transforming under an arbitrary compact global gauge group is allowed, thereby generalizing previous constructions of scalar theories. The two-particle S-matrix S is assumed to be an analytic solution of the Yang-Baxter equation with standard properties, including unitarity, TCP invariance, and crossing symmetry. Using methods from operator algebras and complex analysis, we identify sufficient criteria on S that imply the solution of the inverse scattering problem. These conditions are shown to be satisfied in particular by so-called diagonal S-matrices, but presumably also in other cases such as the O(N)-invariant nonlinear σ-models.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Springer Verlag (Germany)
ISSN:	0010-3616
Date of First Compliant Deposit:	22 June 2017
Date of Acceptance:	27 February 2017
Last Modified:	17 Nov 2024 06:45
URI:	https://orca.cardiff.ac.uk/id/eprint/93823

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