Form Factors of the Elementary Field in the Bullough-Dodd Model

TL;DR

This paper derives recursive equations for form factors in the Bullough-Dodd model and shows their relation to the Sinh-Gordon model at the self-dual point, revealing a deep connection between these integrable quantum field theories.

Contribution

It introduces recursive equations for form factors of local operators in the Bullough-Dodd model and establishes their equivalence to those in the Sinh-Gordon model at a specific coupling.

Findings

Form factors satisfy recursive equations derived in the paper.

At the self-dual point, form factors of the Bullough-Dodd model match those of the Sinh-Gordon model.

The work reveals a connection between two integrable models at a special coupling.

Abstract

We derive the recursive equations for the form factors of the local hermitian operators in the Bullough-Dodd model. At the self-dual point of the theory, the form factors of the fundamental field of the Bullough-Dodd model are equal to those of the fundamental field of the Sinh-Gordon model at a specific value of the coupling constant.