H.E. Boos1 Institute for High Energy Physics Protvino, 142284, Russia V.E. Korepin 2 C.N. Yang Institute for Theoretical Physics State University of New York at Stony Brook Stony Brook, NYâ€¦ (More)

We study XXX Heisenberg spin 1/2 anti-ferromagnet. We evaluate a probability of formation of a ferromagnetic string in the anti-ferromagnetic ground state in thermodynamics limit. We prove that forâ€¦ (More)

We consider the inhomogeneous generalization of the densit y ma rix of a finite segment of lengthm of the antiferromagnetic Heisenberg chain. It is a function of the temperature T and the externalâ€¦ (More)

Using a modified version of the tetrahedron equations we construct a new family of N-state three-dimensional integrable models with commuting two-layer transfer-matrices. We investigate a particularâ€¦ (More)

We study spin-1/2 Heisenberg XXX antiferromagnet. The spectrum of the Hamiltonian was found by Hans Bethe in 1931, [1]. We study the probability of formation of ferromagnetic string in theâ€¦ (More)

We present a conjecture for the density matrix of a finite segm ent of the XXZ chain coupled to a heat bath and to a constant longitudinal magneti c fi ld. It states that the inhomogeneous densityâ€¦ (More)

It was recently shown by Jimbo, Miwa and Smirnov that the corr elation functions of a generalized XXZ chain associated with an inho mogeneous six-vertex model with disorder parameter Î± and withâ€¦ (More)

Some exact results for the three-layer Zamolodchikov model. Abstract In this paper we continue the study of the three-layer Zamolodchikov model started in our previous works [18] and [19]. We analyseâ€¦ (More)

We obtain the functional relations for the eigenvalues of the transfer matrix of the sl(3) chiral Potts model for q2 = âˆ’1. For the homogeneous model in both directions a solution of these functionalâ€¦ (More)

Recent studies have revealed much of the mathematical struc ture of the static correlation functions of the XXZ chain. Here we use th results of those studies in order to work out explicit examplesâ€¦ (More)