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International Journal of Modern Physics A

MEAN STAGGERED POLARIZATION FOR THE HIGHER SPIN ANALOG OF THE 6-VERTEX MODEL

Etsurō Date, Michio Jimbo, Kei Miki, Masato Okado

Published Apr 1, 1992• 3 citations
Publisher

Abstract

We compute the mean staggered polarization of the vertex models corresponding to higher spin representations of [Formula: see text]. This generalizes a result of Baxter for spin 1/2.
DOI
10.1142/s0217751x92003768

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YANG-BAXTER EQUATION FOR BROKEN ZN⊗n−1\mathbb{Z}_N^{\otimes n-1}ZN⊗n−1​ MODELS
In this paper we review the theory of the Yang–Baxter equation related to the 6-vertex model and its higher spin generalizations. We employ a 3D approach to the problem. Starting with the 3D R-matrix, we consider a two-layer projection of the corresponding 3D lattice model. As a result, we obtain a new expression for the higher spin R-matrix associated with the affine quantum algebra Uq(sl(2)ˆ). In the simplest case of the spin s=1/2 this R-matrix naturally reduces to the R-matrix of the 6-vertex model. Taking a special limit in our construction we also obtain new formulas for the Q-operators acting in the representation space of arbitrary (half-)integer spin. Remarkably, this construction can be naturally extended to any complex values of spin s. We also give all functional equations satisfied by the transfer-matrices and Q-operators.