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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2014 Volume 181, Number 3, Pages 515–537 (Mi tmf8741)

This article is cited in 17 papers

Determinant representations for form factors in quantum integrable models with the $GL(3)$-invariant $R$-matrix

S. Z. Pakulyakabc, E. Ragoucyde, N. A. Slavnovf

a Institute of Theoretical and Experimental Physics, Moscow, Russia
b Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia
c Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
d Université de Savoie, Annecy-le-Vieux, France
e Laboratoire d'Annecy-le-Vieux de Physique Théorique, Annecy-le-Vieux, France
f Steklov Mathematical Institute, RAS, Moscow, Russia

Abstract: We obtain determinant representations for the form factors of the monodromy matrix elements in quantum integrable models solvable by the nested algebraic Bethe ansatz and having the $GL(3)$-invariant $R$-matrix. These representations can be used to calculate correlation functions in physically interesting models.

Keywords: nested algebraic Bethe ansatz, scalar product, form factor.

Received: 20.06.2014

DOI: 10.4213/tmf8741


 English version:
Theoretical and Mathematical Physics, 2014, 181:3, 1566–1584

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© Steklov Math. Inst. of RAS, 2026