Scalar products of Bethe vectors in the 8-vertex model
Mathematical Physics
2022-07-15 v2 High Energy Physics - Theory
math.MP
Abstract
We obtain a determinant representation of normalized scalar products of on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of rational anisotropy parameter and use the generalized algebraic Bethe ansatz approach. Our method is to obtain a system of linear equations for the scalar products, prove its solvability and solve it in terms of determinants of explicitly known matrices.
Keywords
Cite
@article{arxiv.2005.11224,
title = {Scalar products of Bethe vectors in the 8-vertex model},
author = {N. Slavnov and A. Zabrodin and A. Zotov},
journal= {arXiv preprint arXiv:2005.11224},
year = {2022}
}
Comments
57 pages, minor corrections