Form factor approach to dynamical correlation functions in critical models

摘要: We develop a form factor approach to the study of dynamical correlation functions quantum integrable models in critical regime. As an example, we consider non-linear Schrodinger model. derive long-distance/long-time asymptotic behavior various two-point this also compute edge exponents and amplitudes characterizing power-law response on particle/hole excitation thresholds. These last results confirm predictions based Luttinger liquid method. Our rely first principles derivation, microscopic analysis model, without invoking, at any stage, some correspondence with continuous field theory. Furthermore, our only makes use certain general properties so that it should be applicable, possibly minor modifications, wide class (not necessarily integrable) gapless one dimensional Hamiltonians.