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 Nuclear Phys. B, 2014, Volume 881, Pages 343–368 (Mi nphb7)

Form factors in quantum integrable models with $GL(3)$-invariant $R$-matrix

S. Pakuliakabc, E. Ragoucyde, N. A. Slavnovf

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

Abstract: We study integrable models solvable by the nested algebraic Bethe ansatz and possessing $GL(3)$-invariant $R$-matrix. We obtain determinant representations for form factors of off-diagonal entries of the monodromy matrix. These representations can be used for the calculation of form factors and correlation functions of the XXX $SU(3)$-invariant Heisenberg chain.

 Funding Agency Grant Number Russian Foundation for Basic Research 11-01-0098011-01-0044013-01-12405 National Research University Higher School of Economics 12-09-0064 Agence Nationale de la Recherche SIMI1 2010-BLAN-0120-02 Russian Academy of Sciences - Federal Agency for Scientific Organizations 19 Ministry of Education and Science of the Russian Federation SS-4612.2012.1 The work of S.P. was supported in part by RFBR grant 11-01-00980-a and grant of Scientific Foundation of NRU HSE 12-09-0064. E.R. was supported by ANR Project DIADEMS (Programme Blanc ANR SIMI1 2010-BLAN-0120-02). N.A.S. was supported by the Program of RAS Basic Problems of the Nonlinear Dynamics, RFBR-11-01-00440-a, RFBR-13-01-12405-ofi-m2, SS-4612.2012.1.

DOI: https://doi.org/10.1016/j.nuclphysb.2014.02.014

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Revised: 11.02.2014
Accepted:12.02.2014
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