Séminaire de Physique ThéoriqueAsymptotic behaviour of two-point dynamical correlation functions in the XXZ chain
Karol Kozlowski (ENS, Lyon)
jeudi 23 mai 2019 14:00 - Tours - Salle 1180 (Bât E2)
In this talk, I will explain how, starting from the recently obtained thermodynamic limit of a form factor series expansion in the massless regime of the XXZ chain, one can extract the long-time and large-distance asymptotic behaviour of two-point correlation functions. The analysis unravels two structurally different regimes of the asymptotics. Furthermore, it connects the asymptotic properties of the correlators to the singularity structure of the model’s form factors. The analysis provides a microscopic, first principle based explanation, of the non-linear Luttinger based heuristics.