Scalar Products in Twisted XXX Spin Chain. Determinant Representation
Abstract
We consider XXX spin$1/2$ Heisenberg chain with nondiagonal boundary conditions. We obtain a compact determinant representation for the scalar product of onshell and offshell Bethe vectors. In the particular case when both Bethe vectors are on shell, we obtain a determinant representation for the norm of onshell Bethe vector and prove orthogonality of the onshell vectors corresponding to the different eigenvalues of the transfer matrix.
 Publication:

SIGMA
 Pub Date:
 September 2019
 DOI:
 10.3842/SIGMA.2019.066
 arXiv:
 arXiv:1906.06897
 Bibcode:
 2019SIGMA..15..066B
 Keywords:

 XXX chain; nondiagonal boundary conditions; scalar product; determinant;
 Mathematical Physics;
 Condensed Matter  Strongly Correlated Electrons;
 High Energy Physics  Theory
 EPrint:
 SIGMA 15 (2019), 066, 30 pages