Free Field Representation For Massive Integrable Models

TL;DR

This paper introduces a novel approach to massive integrable models that identifies symmetry algebras and provides integral representations for form-factors in specific models like SU(2) Thirring and Sine-Gordon.

Contribution

It develops a new method to determine symmetry algebras and derive form-factor representations for certain massive integrable models.

Findings

Identified symmetry algebras for massive integrable models.

Derived general integral representations for form-factors.

Applied method to SU(2) Thirring and Sine-Gordon models.

Abstract

A new approach to massive integrable models is considered. It allows one to find symmetry algebras which define spaces of local operators and to get general integral representations for form-factors in the\ $ SU(2)$\ Thirring and Sine-Gordon models.