Completeness of the Bethe ansatz for the six and eight-vertex models

Abstract

We discuss some of the difficulties that have been mentioned in the literature in connection with the Bethe ansatz for the six-vertex model and XXZ chain, and for the eight-vertex model. In particular we discuss the ``beyond the equator'', infinite momenta and exact complete string problems. We show how they can be overcome and conclude that the coordinate Bethe ansatz does indeed give a complete set of states, as expected.

arXiv comment40 pages, no figures

References in corpus (2)

• Bethe Equations "on the Wrong Side of Equator"
• Singularities in the Bethe solution of the XXX and XXZ Heisenberg spin chains

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