A tale of two Bethe ansatze

作者:Lima Santos Antonio*; Nepomechie Rafael I; Pimenta Rodrigo A
来源:Journal of Statistical Mechanics: Theory and Experiment , 2018, 2018(4): 043107.
DOI:10.1088/1742-5468/aab851

摘要

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 ansatze is obtained. As a consequence, we obtain the Slavnov formula for the scalar product between on-shell and off-shell Tarasov-Bethe vectors.

  • 出版日期2018-4

全文