Scalar product for the XXZ spin chain with general integrable boundaries

被引：3
|
作者：
Belliard, Samuel [1 ]
Pimenta, Rodrigo A. [2 ,3 ]
Slavnov, Nikita A. [4 ]
机构：
[1] Univ Tours, Univ Orleans Parc Grammont, Inst Denis Poisson, CNRS,UMR 7013, F-37200 Tours, France
[2] Univ Fed Lavras, Dept Fis, Caixa Postal 3037, BR-37200000 Lavras, MG, Brazil
[3] Univ Sao Paulo, Inst Fis Sao Carlos, Caixa Postal 369, BR-13560590 Sao Carlos, SP, Brazil
[4] Russian Acad Sci, Steklov Math Inst, 8 Gubkina Str, Moscow 119991, Russia
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2021年 / 54卷 / 34期
关键词：
XXZ spin chain; scalar product; Bethe ansatz; general integrable boundaries; ALGEBRAIC BETHE-ANSATZ; SEGMENT; MODEL;
D O I：
10.1088/1751-8121/ac1482
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We calculate the scalar product of Bethe states of the XXZ spin-1/2 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.
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页数：15
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