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

Christian Korff

Type: Article

Publication Date: 2004-07-08

Citations: 14

DOI: https://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.

Locations

Journal of Physics A Mathematical and General - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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