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Scalar products of Bethe vectors in the 8-vertex model

Journal of High Energy Physics. 2020. No. 6. P. 123.
Slavnov N. A., Zabrodin A., Zotov A.

We obtain a determinant representation of normalized scalar products of onshell 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.

Research target: Physics Mathematics
Priority areas: mathematics
Language: English
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DOI
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Keywords: Bethe AnsatzLattice Integrable Models
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