Form factors of exponential fields for two-parametric family of integrable models

TL;DR

This paper derives integral representations for the form factors of exponential fields in a two-parametric family of integrable models, unifying several known theories and providing tools for analyzing their quantum field properties.

Contribution

It introduces a bosonization-based method to compute form factors in the SS model and related models, extending previous results to a broader class of integrable quantum field theories.

Findings

Integral representations for form factors are obtained.

Results include special cases like the sausage and cosine-cosine models.

The approach is validated at points with free particles.

Abstract

A two-parametric family of integrable models (the SS model) that contains as particular cases several well known integrable quantum field theories is considered. After the quantum group restriction it describes a wide class of integrable perturbed conformal field theories. Exponential fields in the SS model are closely related to the primary fields in these perturbed theories. We use the bosonization approach to derive an integral representation for the form factors of the exponential fields in the SS model. The same representations for the sausage model and the cosine-cosine model are obtained as limiting cases. The results are tested at the special points, where the theory contains free particles.