On the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions

TL;DR

This paper develops a method to compute nonlocal correlation functions in the six-vertex model with domain wall boundary conditions, using quantum inverse scattering and multiple integrals, enhancing understanding of the model's correlations.

Contribution

It introduces a calculation of the row configuration probability as a new nonlocal correlation function in the six-vertex model, linking it to existing functions like the emptiness formation probability.

Findings

Derived a multiple integral expression for the row configuration probability.

Connected the new correlation function to the emptiness formation probability.

Provided a framework for computing various correlation functions in the model.

Abstract

The problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions is addressed by considering a particular nonlocal correlation function, called row configuration probability. This correlation function can be used as building block for computing various (both local and nonlocal) correlation functions in the model. The row configuration probability is calculated using the quantum inverse scattering method; the final result is given in terms of a multiple integral. The connection with the emptiness formation probability, another nonlocal correlation function which was computed elsewhere using similar methods, is also discussed.