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

R. J. Baxter

doi:10.1023/A:1015437118218

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

R. J. Baxter^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

105 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-48
Number of pages	48
Journal	Journal of Statistical Physics
Volume	108
Issue number	1-2
DOIs	https://doi.org/10.1023/A:1015437118218
Publication status	Published - 2002

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AB - 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.

KW - Bethe Ansatz

KW - Completeness

KW - Eight-vertex model

KW - Six-vertex model

KW - Statistical mechanics

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DO - 10.1023/A:1015437118218

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SP - 1

EP - 48

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1-2

ER -

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

Abstract

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