Correlation Functions in 2-Dimensional Integrable Quantum Field Theories

TL;DR

This paper discusses the form factor approach for calculating correlation functions in 2D integrable quantum field theories, exemplified by the Sinh-Gordon model, focusing on form factors of key operators.

Contribution

It introduces the computation of form factors for the elementary field and stress-energy tensor in the Sinh-Gordon model using Watson's and recursive equations.

Findings

Explicit form factors for $(x)$ and $T_{ u}(x)$ are derived.

The approach demonstrates how to systematically compute correlation functions in integrable models.

The method provides a foundation for analyzing other operators in similar theories.

Abstract

In this talk I discuss the form factor approach used to compute correlation functions of integrable models in two dimensions. The Sinh-Gordon model is our basic example. Using Watson's and the recursive equations satisfied by matrix elements of local operators, I present the computation of the form factors of the elementary field $\phi(x)$ and the stress-energy tensor $T_{\mu\nu}(x)$ of the theory.