Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions

N. Kitanine; Karol Kozlowski; Jean Michel Maillet; N. A. Slavnov; Véronique Terras

Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions

N. Kitanine ¹ Karol Kozlowski ² 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 describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz. We apply this approach to the longitudinal spin- spin correlation function of the XXZ Heisenberg spin-1/2 chain (with magnetic field) in the disordered regime as well as to the density-density correlation func- tion of the interacting one-dimensional Bose gas. At leading order, the results confirm the Luttinger liquid and conformal field theory predictions.

Keywords : Correlation functions Integrable models Bethe ansatz Asymptotic analysis

Document type :

Journal articles

Domain :

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

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

Physics [physics] / Condensed Matter [cond-mat] / Statistical Mechanics [cond-mat.stat-mech]

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

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Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions

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