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arXiv · 1501.06253

Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation

N. A. Slavnov
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Abstract

We study quantum integrable GL(3)-based models with a trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. We derive a determinant representation for a special case of scalar products of Bethe vectors. This representation allows one to find a determinant formula for the form factor of one of the monodromy matrix entries. We also point out essential difference between form factors in the models with the trigonometric R-matrix and their analogs in GL(3)-invariant models.

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N. A. Slavnov. 2015-03-20. Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation. https://doi.org/10.1088/1742-5468%2F2015%2F03%2Fp03019

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