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 language | English (US) |
|---|---|
| Article number | 043107 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2018 |
| Issue number | 4 |
| DOIs | |
| State | Published - 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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Lima-Santos, A., Nepomechie, R., & Pimenta, R. A. (2018). A tale of two Bethe ansätze. Journal of Statistical Mechanics: Theory and Experiment, 2018(4), [043107]. https://doi.org/10.1088/1742-5468/aab851