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.

78 pages

References in corpus (2)

• Algebraic representation of correlation functions in integrable spin chains
• String correlation functions of the spin-1/2 Heisenberg XXZ chain

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