Scalar product for the XXZ spin chain with general integrable boundaries - Archive ouverte HAL
Journal Articles J.Phys.A Year : 2021

Scalar product for the XXZ spin chain with general integrable boundaries

Rodrigo A. Pimenta
  • Function : Author
Nikita A. Slavnov
  • Function : Author

Abstract

We calculate the scalar product of Bethe states of the XXZ spin- chain with general integrable boundary conditions. The off-shell equations satisfied by the transfer matrix and the off-shell Bethe vectors allow one to derive a linear system for the scalar product of off-shell and on-shell Bethe states. We show that this linear system can be solved in terms of a compact determinant formula that involves the Jacobian of the transfer matrix eigenvalue and certain q-Pochhammer polynomials of the boundary couplings.

Dates and versions

hal-03191129 , version 1 (06-04-2021)

Identifiers

Cite

Samuel Belliard, Rodrigo A. Pimenta, Nikita A. Slavnov. Scalar product for the XXZ spin chain with general integrable boundaries. J.Phys.A, 2021, 54 (34), pp.344001. ⟨10.1088/1751-8121/ac1482⟩. ⟨hal-03191129⟩
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