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Article electronically published on February 25, 2010 FIVE-VERTEX MODEL WITH FIXED BOUNDARY CONDITIONS

By N. M. Bogolyubov


Abstract. The exactly solvable five-vertex model on a square lattice with fixed boundary conditions is considered. Application of the algebraic Bethe ansatz makes it possible to express the partition function and the boundary correlation functions of the nonhomogeneous model in the determinantal form. The relationship established between the homogeneous model and plane partitions helps to calculate its partition function. The study of exactly solvable vertex models of classical statistical physics has been actual for many years [1, 2]. One of the basic vertex models, the so-called six-vertex model, has been investigated intensively both for periodic and fixed boundary conditions; see [1]–[8]

Year: 2013
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