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Scalar products of Bethe vectors in the 8-vertex model (2005.11224v2)
Published 22 May 2020 in math-ph, hep-th, and math.MP
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.
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