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JOURNALS // Journal of Statistical Mechanics: Theory and Experiment // Archive

J. Stat. Mech., 2012, Volume 2012, 10017, 25 pp. (Mi jsm7)

This article is cited in 35 papers

The algebraic Bethe ansatz for scalar products in $SU(3)$-invariant integrable models

S. Belliarda, S. Pakuliakbcd, E. Ragoucye, N. A. Slavnovf

a Université Montpellier 2, Laboratoire Charles Coulomb, UMR 5221, F-34095 Montpellier, France
b Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow reg., Russia
c Moscow Institute of Physics and Technology, 141700, Dolgoprudny, Moscow reg., Russia
d Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia
e Laboratoire de Physique Théorique LAPTH, CNRS and Université de Savoie, BP 110, F-74941 Annecy-le-Vieux Cedex, France
f Steklov Mathematical Institute, Moscow, Russia

Abstract: We study $SU(3)$-invariant integrable models solvable by a 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.

Received: 23.07.2012
Accepted: 20.09.2012

Language: English

DOI: 10.1088/1742-5468/2012/10/P10017



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