Scalar product for the XXZ spin chain with general integrable boundaries
Mathematical Physics
2021-09-01 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
We calculate the scalar product of Bethe states of the XXZ spin- chain with general integrable boundary conditions. The off-shell equations satisfied by the transfer matrix and the off-shell Bethe vectors allow one to derive a linear system for the scalar product of off-shell and on-shell Bethe states. We show that this linear system can be solved in terms of a compact determinant formula that involves the Jacobian of the transfer matrix eigenvalue and certain q-Pochhammer polynomials of the boundary couplings.
Keywords
Cite
@article{arxiv.2103.12501,
title = {Scalar product for the XXZ spin chain with general integrable boundaries},
author = {Samuel Belliard and Rodrigo A. Pimenta and Nikita A. Slavnov},
journal= {arXiv preprint arXiv:2103.12501},
year = {2021}
}
Comments
10 pages