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Journal Articles JHEP Year : 2019

Why scalar products in the algebraic Bethe ansatz have determinant representation

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N.A. Slavnov
  • Function : Author

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.

Dates and versions

hal-02290811 , version 1 (18-09-2019)

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S. Belliard, N.A. Slavnov. Why scalar products in the algebraic Bethe ansatz have determinant representation. JHEP, 2019, 10, pp.103. ⟨10.1007/JHEP10(2019)103⟩. ⟨hal-02290811⟩
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