Correlation functions of quantum integrable models : recent advances

by Maillet, Jean Michel

Abstract

We review recent progress in the computation of correlation functions of quantum integrable models using the XXZ spin-1/2 chain as the main example. Our method is based on the resolution of the quantum inverse scattering problem in the framework of the algebraic Bethe ansatz. It leads to multiple integrals representations of the correlation functions. Their long distance asymptotics will be discussed in this context together with some exact results in the root of unity case.