This article is cited in 16 papers

An approach for calculating correlation functions in the six-vertex model with domain wall boundary conditions

F. Colomo^a, A. G. Pronko<sup>b

a</sup> INFN, Sezione di Firenze, Firenze, Italy
^b St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia

Abstract: We address the problem of calculating correlation functions in the six-vertex model with domain wall boundary conditions by considering a particular nonlocal correlation function, called the row configuration probability. This correlation function can be used as a building block for computing various (both local and nonlocal) correlation functions in the model. We calculate the row configuration probability using the quantum inverse scattering method, giving the final result in terms of multiple integrals. We also discuss the relation to the emptiness formation probability, another nonlocal correlation function, which was previously computed using similar methods.

Keywords: vertex model, correlation function, domain wall boundary condition, multiple-integral representation, quantum inverse scattering method.

Received: 17.05.2012

DOI: 10.4213/tmf8368

 English version: Theoretical and Mathematical Physics, 2012, 171:2, 641–654

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