(1) Presentation(s)
Lun. 07/05/2012 15:00 Petite Ourse, Bâtiment 13, Etage 1 KOZLOWSKI Karol (université de Bourgogne) Form factor approach to the asymptotic behavior of correlation functions (Physique Théorique) There exist various approximation methods (CFT, Luttinger liquid, non-linear Luttinger liquid) allowing one to study certain limiting regimes of the behavior of various correlation functions in one dimensional gapless quantum Hamiltonians. In this talk, I will overview the recent developments in respect to setting up yet another approach to characterizing certain properties of the correlatior in one dimensional gapless models. The approach that I will discuss is based on the study of form factor expansions for two-point functions. Under a specific assumption on the structure of the large-volume asymptotic behavior of the form factors and of the spectrum, I will argue that, starting from a gapless model in large but finite volume, it is possible to sum-up the form factor expansion in the large-distance and/or long-time regime. In such a way, one reporduces the CFT and Luttinger-liquid based predictions for the long-distance asymptotics of two-point functions. One is furthermore able to access to the Pour plus d'informations, merci de contacter Crampé N. |