On convergence of form factor expansions in the infinite volume quantum Sinh-Gordon model in 1+1 dimensions

TL;DR

This paper proves the convergence of form factor series expansions for two-point functions in the 1+1 dimensional Sinh-Gordon quantum field theory, advancing the mathematical understanding of this integrable model.

Contribution

It introduces a new technique to establish the convergence of form factor expansions in the Sinh-Gordon model, a key step in rigorous quantum field theory analysis.

Findings

Proved convergence of form factor series in the Sinh-Gordon model

Developed a novel method for analyzing series of multiple integrals

Enhanced mathematical rigor in the study of integrable quantum field theories

Abstract

This paper develops a technique allowing one to prove the convergence of a class of series of multiple integrals which corresponds to the form factor expansion of two-point functions in the 1+1 dimensional massive integrable Sinh-Gordon quantum field theory.