Generating function for sine-Gordon correlators in finite volume from the inhomogeneous XXZ chain

TL;DR

This paper derives a generating function for sine-Gordon correlators in finite volume using an inhomogeneous XXZ chain, connecting lattice regularization with continuum field theory through integrable models and form factor techniques.

Contribution

It introduces a new expression for the sine-Gordon correlator generating function based on lattice regularization and recent form factor computations.

Findings

Provides a finite-volume correlator generating function for sine-Gordon theory

Links lattice XXZ model with continuum sine-Gordon correlators

Utilizes advanced form factor calculations in the thermodynamic limit

Abstract

We present an expression for the generating function of correlation functions of the sine-Gordon integrable field theory on a cylinder, with compact space. This is derived from the Destri-De Vega integrable lattice regularization of the theory, formulated as an inhomogeneous Heisenberg XXZ spin chain, and from more recent advances in the computations of spin form factors in the thermodynamic limit.