Scalar Products in Twisted XXX Spin Chain. Determinant Representation
Mathematical Physics
2019-09-04 v2 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
Abstract
We consider XXX spin- Heisenberg chain with non-diagonal boundary conditions. We obtain a compact determinant representation for the scalar product of on-shell and off-shell Bethe vectors. In the particular case when both Bethe vectors are on shell, we obtain a determinant representation for the norm of on-shell Bethe vector and prove orthogonality of the on-shell vectors corresponding to the different eigenvalues of the transfer matrix.
Keywords
Cite
@article{arxiv.1906.06897,
title = {Scalar Products in Twisted XXX Spin Chain. Determinant Representation},
author = {Samuel Belliard and Nikita A. Slavnov},
journal= {arXiv preprint arXiv:1906.06897},
year = {2019}
}