A tale of two Bethe ansätze

Antonio Lima-Santos, Rafael I. Nepomechie, Rodrigo A. Pimenta

Research output: Contribution to journalArticlepeer-review

Abstract

We revisit the construction of the eigenvectors of the single and double-row transfer matrices associated with the Zamolodchikov-Fateev model, within the algebraic Bethe ansatz method. The left and right eigenvectors are constructed using two different methods: the fusion technique and Tarasov's construction. A simple explicit relation between the eigenvectors from the two Bethe ansätze is obtained. As a consequence, we obtain the Slavnov formula for the scalar product between on-shell and off-shell Tarasov-Bethe vectors.

Original languageEnglish (US)
Article number043107
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2018
Issue number4
DOIs
StatePublished - Apr 26 2018

Keywords

  • integrable spin chains and vertex models
  • quantum integrability (Bethe ansatz)

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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