Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz. (English. Russian original) Zbl 1530.82009
Theor. Math. Phys. 217, No. 1, 1574-1594 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 179-203 (2023).
Summary: We consider an \(XYZ\) spin chain within the framework of the generalized algebraic Bethe ansatz. We study scalar products of the transfer matrix eigenvectors and arbitrary Bethe vectors. In the particular case of free fermions, we obtain explicit expressions for the scalar products with different number of parameters in two Bethe vectors.
MSC:
| 82B23 | Exactly solvable models; Bethe ansatz |
Keywords:
generalized algebraic Bethe ansatz; Bethe vectors; gauge transformed monodromy matrix; scalar productsReferences:
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