Scalar products in GL(3)-based models with trigonometric R-matrix. Determinant representation. (18th March 2015)

• Record Type: Journal Article
• Authors: Slavnov, N A
• Is Part Of: Journal of statistical mechanics. (2015:Mar.)
• Publication Date: 2015-03-18
• Subjects: 1; 1/040 -- 1/050 -- 1/100; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/03/P03019
• Languages: English
• ISSNs: 1742-5468

Abstract

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.