J-M. Maillet, Ecole Normale Superieur, Lyon

Asymptotic behavior of correlation functions from Bethe ansatz : the XXZ chain

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. At leading order, the results confirm the Luttinger 
liquid and conformal field theory predictions.