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arXiv:1501.06253 · Journal of Statistical Mechanics Theory and Experiment

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

N A Slavnov

Published Mar 18, 2015• 39 citations
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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 an essential difference between form factors in the models with the trigonometric R -matrix and their analogs in GL (3)-invariant models.

DOI
10.1088/1742-5468/2015/03/p03019

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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 an 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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