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Nuclear Physics B 712, 3 (2005) 600-622
Master equation for spin-spin correlation functions of the XXZ chain
N. Kitanine1, Jean Michel Maillet2, N. A. Slavnov3, Véronique Terras2, 4

We derive a new representation for spin-spin correlation functions of the finite XXZ spin-1/2 Heisenberg chain in terms of a single multiple integral, that we call the master equation. Evaluation of this master equation gives rise on the one hand to the previously obtained multiple integral formulas for the spin-spin correlation functions and on the other hand to their expansion in terms of the form factors of the local spin operators. Hence, it provides a direct analytic link between these two representations of the correlation functions and a complete re-summation of the corresponding series. The master equation method also allows one to obtain multiple integral representations for dynamical correlation functions.
1 :  LPTM - Laboratoire de Physique Théorique et Modélisation
2 :  Phys-ENS - Laboratoire de Physique de l'ENS Lyon
3 :  SMI - Steklov Mathematical Institute
4 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
Physique/Physique des Hautes Energies - Théorie

Physique/Physique mathématique

Mathématiques/Physique mathématique
Quantum integrable models – Correlation functions – Bethe ansatz – spin chain
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