Describing the long-time dynamical behaviour of quantum systems is a long-standing open problem.
When the coupling constant
of the interaction is small, the dynamics of the system up to kinetic time
is conjectured to be effectively governed by the Boltzmann-Nordheim kinetic equation.
In this talk, I will present a result on the two-point time correlation function of a system of lattice fermions at thermal equilibrium, and I will explain how to approach the problem using a perturbation expansion and representing the appearing terms by Feynman diagrams.
This is joint work with Phan Thành Nam, Herbert Spohn, and Minh-Binh Tran.