The Form Factors in the Sinh-Gordon Model

TL;DR

This paper provides an explicit general solution to the form factor problem in the sinh-Gordon model, linking it to exponential operators and connecting it to the scaling Lee-Yang model in a specific limit.

Contribution

It presents the most general explicit solution to the form factor problem in the sinh-Gordon model, including a method to derive form factors of exponential operators.

Findings

General solution reproduces form factors of the scaling Lee-Yang model

Solutions correspond to powers of the elementary field

Adjusting parameters yields exponential operator form factors

Abstract

The most general solution to the form factor problem in the sinh-Gordon model is presented in an explicit way. The linearly independent classes of solutions correspond to powers of the elementary field. We show how the form factors of exponential operators can be obtained from the general solution by adjusting free parameters. The general formula obtained in the sinh-Gordon case reproduces the form factors of the scaling Lee-Yang model in a certain limit of the coupling constant.