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Exact results for the sigma(z) two-point function of the XXZ chain Delta=1/2

N. Kitanine 1 Jean Michel Maillet 2 N. A. Slavnov 3 Véronique Terras 2, 4
1 LPTM - UMR 8089 - 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
Abstract : We propose a new multiple-integral representation for the correlation function [sigma(1)(z)sigma(m+1)(z)] of the XXZ spin-1/2 Heisenberg chain in the disordered regime. We show that for Delta = 1/2 the integrals can be separated and computed exactly. As an example we give the explicit results up to the lattice distance m = 8. It turns out that the answer is given as integer numbers divided by 2((m+1)2).
Keywords : Quantum integrable models spin chain Bethe ansatz Correlation functions
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00266557
Contributor : Jean Michel Maillet <>
Submitted on : Monday, March 24, 2008 - 10:12:29 PM
Last modification on : Wednesday, December 2, 2020 - 4:20:07 PM

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N. Kitanine, Jean Michel Maillet, N. A. Slavnov, Véronique Terras. Exact results for the sigma(z) two-point function of the XXZ chain Delta=1/2. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2005, pp.L09002. ⟨10.1088/1742-5468/2005/09/L09002⟩. ⟨ensl-00266557⟩

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