Article

# Dynamical structure factor at small q for the XXZ spin-1/2 chain

Journal of Statistical Mechanics Theory and Experiment (Impact Factor: 1.87). 06/2007; DOI: 10.1088/1742-5468/2007/08/P08022

Source: arXiv

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**ABSTRACT:**We study SU(3)-invariant integrable models solvable by nested algebraic Bethe ansatz. We obtain determinant representations for form factors of diagonal entries of the monodromy matrix. This representation can be used for the calculation of form factors and correlation functions of the XXX SU(3)-invariant Heisenberg chain.Journal of Statistical Mechanics Theory and Experiment 11/2012; 2013(04). · 1.87 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We study quantum integrable models with $GL(3)$ trigonometric $R$-matrix solvable by the nested algebraic Bethe ansatz. We analyze scalar products of generic Bethe vectors and obtain an explicit representation for them in terms of a sum with respect to partitions of Bethe parameters. This representation generalizes known formula for the scalar products in the models with $GL(3)$-invariant $R$-matrix.01/2014; - [Show abstract] [Hide abstract]

**ABSTRACT:**We study quantum integrable models with GL(3) trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. Scalar products of Bethe vectors in such models can be expressed in terms of a bilinear combination of the highest coefficients. We show that in the models with GL(3) trigonometric R-matrix there exist two different highest coefficients. We obtain various representations for them in terms of sums over partitions. We also prove several important properties of the highest coefficients, which are necessary for the evaluation of the scalar products.11/2013; 178(3).

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