Correlation functions of the open XXZ chain: I

Abstract

We consider the XXZ spin chain with diagonal boundary conditions in the framework of the algebraic Bethe ansatz. Using the explicit computation of the scalar products of Bethe states and a revisited version of the bulk quantum inverse problem, we calculate the elementary building blocks for the correlation functions. In the limit of a half-infinite chain, they are obtained as multiple integrals of usual functions, similar to the case of periodic boundary conditions. © IOP Publishing Ltd.