The problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions is considered. The model is formulated as a scalar product of off-shell Bethe states. The quantum inverse scattering method is applied, and three different integral representations for these states are obtained. By suitably combining such representations, and using certain antisymmetrization relation in two sets of variables, it is possible to derive integral representations for various correlation functions. In particular, focusing on the emptiness formation probability, besides reproducing the known result, obtained by other means elsewhere, a new one is obtained. By construction, the two representations differ in the number of integrations and their equivalence is related to a hierarchy of highly nontrivial identities.
F. Colomo, G. Di Giulio, A. G. Pronko, Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
Published Date:
English (United Kingdom) 
Russian (Russia)