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Correlation functions of the open XXZ chain I

N. Kitanine 1 Karol Kozlowski 2 Jean Michel Maillet 2 G. Niccoli 3 N. A. Slavnov 4 Véronique Terras 2, 5
1 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation
2 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
3 DESY - Theory group, DESY
4 SMI - Steklov Mathematical Institute
5 LPTA - Laboratoire de Physique Théorique et Astroparticules
Abstract : We consider the XXZ spin chain with diagonal boundary conditions in the framework of algebraic Bethe Ansatz. Using the explicit computation of the scalar products of Bethe states and a revisited version of the bulk inverse problem, we calculate the elementary building blocks for the correlation functions. In the limit of half-infinite chain, they are obtained as multiple integrals of usual functions, similar to the case of periodic boundary conditions.
Keywords : Integrable models Bethe ansatz correlation functions
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00266468
Contributor : Jean Michel Maillet <>
Submitted on : Sunday, March 23, 2008 - 12:20:03 AM
Last modification on : Monday, January 25, 2021 - 2:38:02 PM

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N. Kitanine, Karol Kozlowski, Jean Michel Maillet, G. Niccoli, N. A. Slavnov, et al.. Correlation functions of the open XXZ chain I. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2007, pp.P10009. ⟨10.1088/1742-5468/2007/10/P10009⟩. ⟨ensl-00266468⟩

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