Scalar products of Bethe vectors in the 8-vertex model

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2020-06, Vol.2020 (6), p.1-55, Article 123
Main Authors: Slavnov, N., Zabrodin, A., Zotov, A.
Format: Article
Language:English
Subjects:
Anisotropy
Bethe Ansatz
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Lattice Integrable Models
Linear equations
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Vectors (mathematics)
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2020)123