Auxiliary matrices for the six-vertex model and the algebraic Bethe ansatz

Korff, C. (2004) Auxiliary matrices for the six-vertex model and the algebraic Bethe ansatz. Journal of Physics A: Mathematical and General, 37(29), pp. 7227-7253. (doi:10.1088/0305-4470/37/29/005)

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Publisher's URL: http://dx.doi.org/10.1088/0305-4470/37/29/005

Abstract

We connect two alternative concepts of solving integrable models, Baxter's method of auxiliary matrices (or Q-operators) and the algebraic Bethe ansatz. The main steps of the calculation are performed in a general setting and a formula for the Bethe eigenvalues of the Q-operator is derived. A proof is given for states which contain up to three Bethe roots. Further evidence is provided by relating the findings to the six-vertex fusion hierarchy. For the XXZ spin-chain we analyse the cases when the deformation parameter of the underlying quantum group is evaluated both at and away from a root of unity.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Korff, Dr Christian
Authors: Korff, C.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Physics A: Mathematical and General
Publisher:Institute of Physics Publishing Ltd.
ISSN:0305-4470

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