Thermodynamic Bethe ansatz and form factors for the homogeneous sine-Gordon models

TL;DR

This paper explores the homogeneous sine-Gordon models, detailing their S-matrix construction, and discusses solutions using thermodynamic Bethe ansatz and form factor methods, advancing understanding of integrable quantum field theories.

Contribution

It introduces a general construction principle for color-valued S-matrices linked to pairs of simply laced Lie algebras, encompassing the homogeneous sine-Gordon models.

Findings

Explicit solutions for thermodynamic Bethe ansatz

Explicit solutions for form factor approach

Generalized construction for S-matrices

Abstract

We provide a brief characterization of the main features of the homogeneous sine-Gordon models and discuss a general construction principle for colour valued S-matrices, associated to a pair of simply laced Lie algebras, which contain the homogeneous sine-Gordon models as a subclass. We give a brief introduction to the thermodynamic Bethe ansatz and the form factor approach and discuss explicit solutions for both methods related to the homogeneous Sine-Gordon models and its generalization.