Mapping between the Sinh-Gordon and Ising Models

TL;DR

This paper explores the deep connection between the Sinh-Gordon and Ising models by analyzing their S-matrices and form factors, revealing a mapping between their operators.

Contribution

It establishes a novel correspondence between the operators of the Sinh-Gordon and Ising models through their S-matrices and form factors.

Findings

The Ising model's S-matrix is obtained as a limit of the Sinh-Gordon model's S-matrix.

A detailed operator correspondence between the two models is demonstrated.

The analysis provides new insights into the integrable structure of both models.

Abstract

The $S$-matrix of the Ising Model can be obtained as particular limit of the roaming trajectories associated to of the $S$-matrix of the Sinh-Gordon model. Using the form factors of the Sinh-Gordon, we analyse the correspondence between the operators of the two theories.