Why scalar products in the algebraic Bethe ansatz have determinant representation

Abstract

Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry.

Keywords

• Integrable Field Theories
• Lattice Integrable Models