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

2001/11/30 by R. J. Baxter
Physics and Astronomy · Mathematics · #cond-mat.stat-mech #hep-th #math-ph #math.MP

paper · pdf

published as J.Statist.Phys. 108 (2002) 1-48 · 40 pages, no figures

arxiv created 2002/02/07 · arxiv updated 2009/11/30

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.

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