Skip to Main content Skip to Navigation
Journal articles

Scalar Products in Twisted XXX Spin Chain. Determinant Representation

Abstract : We consider XXX spin-$1/2$ 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.
Complete list of metadata
Contributor : Inspire Hep <>
Submitted on : Wednesday, July 10, 2019 - 4:07:53 AM
Last modification on : Wednesday, June 2, 2021 - 1:56:35 AM

Links full text




Samuel Belliard, Nikita A. Slavnov. Scalar Products in Twisted XXX Spin Chain. Determinant Representation. SIGMA, 2019, 15, pp.066. ⟨10.3842/SIGMA.2019.066⟩. ⟨hal-02178562⟩



Record views