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

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

N. Kitanine ¹ Jean Michel Maillet ² N. A. Slavnov ³ Véronique Terras ^{2, 4}

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

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

Document type :

Journal articles

Domain :

Physics [physics] / Mathematical Physics [math-ph]

Mathematics [math] / Mathematical Physics [math-ph]

Physics [physics] / High Energy Physics - Theory [hep-th]

Complete list of metadatas

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 : Thursday, July 18, 2019 - 10:30:05 AM

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

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

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