☆ 4.6 Article

Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2009)

Journal

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Volume -, Issue -, Pages -

Publisher

IOP PUBLISHING LTD

DOI: 10.1088/1742-5468/2009/04/P04003

Keywords

conformal field theory; correlation functions; integrable spin chains (vertex models); quantum integrability (Bethe ansatz)

Categories

Mechanics Physics, Mathematical

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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 function 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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