Correlation Functions of the XXZ model for $\Delta<-1$

TL;DR

This paper introduces a novel integral formula for correlation functions in the XXZ model within the anti-ferroelectric regime, utilizing quantum affine symmetry and vertex operators, and confirms known results like spontaneous staggered polarization.

Contribution

It presents a new integral formula for correlation functions of the XXZ model using quantum affine symmetry and vertex operators, extending previous methods.

Findings

Derived an integral formula for correlation functions

Reproduced the spontaneous staggered polarization

Validated the approach with known results

Abstract

A new approach to the correlation functions is presented for the XXZ model in the anti-ferroelectric regime. The method is based on the recent realization of the quantum affine symmetry using vertex operators. With the aid of a boson representation for the latter, an integral formula is found for correlation functions of arbitrary local operators. As a special case it reproduces the spontaneous staggered polarization obtained earlier by Baxter.