Scalar products of Bethe vectors in the 8-vertex model

Abstract

We obtain a determinant representation of normalized scalar products of on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of rational anisotropy parameter and use the generalized algebraic Bethe ansatz approach. Our method is to obtain a system of linear equations for the scalar products, prove its solvability and solve it in terms of determinants of explicitly known matrices.

57 pages, minor corrections

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Cited by in corpus (7)

• Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields
• Correlation functions by Separation of Variables: the XXX spin chain
• Scalar product for the XXZ spin chain with general integrable boundaries
• Current mean values in the XYZ model
• Modified rational six vertex model on the rectangular lattice
• Chiral eigenbases of the XX and XY quantum spin chains
• The open XYZ spin 1/2 chain: Separation of Variables and scalar products for boundary fields related by a constraint