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Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2009

Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions

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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.
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Dates and versions

ensl-00308844 , version 1 (02-08-2008)
ensl-00308844 , version 2 (27-01-2009)

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Cite

N. Kitanine, Karol K. Kozlowski, Jean Michel Maillet, N. A. Slavnov, Véronique Terras. Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions. Journal of Statistical Mechanics: Theory and Experiment, 2009, 2009 (04), pp.P04003. ⟨10.1088/1742-5468/2009/04/P04003⟩. ⟨ensl-00308844v2⟩
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