Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions

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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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00308844
Contributor : Jean Michel Maillet <>
Submitted on : Saturday, August 2, 2008 - 12:28:16 AM
Last modification on : Friday, December 7, 2018 - 12:00:03 PM
Long-term archiving on : Thursday, June 3, 2010 - 5:39:11 PM

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  • HAL Id : ensl-00308844, version 1
  • ARXIV : 0808.0227

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N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras. Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions. 2008. ⟨ensl-00308844v1⟩

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