Studied are fermions on a lattice with an interaction strength $\lambda$. For a spatially homogeneous initial state, the goal is to prove the validity of a kinetic equation for the momentum distribution on the time scale $\lambda^{-2}$. Two distinct approaches are envisioned. (i) Diagrammatic expansions involving high-dimensional oscillatory integrals of any order and (ii) Bosonization for a more effective control of error terms.
DFG Programme
CRC/Transregios