All orders Boltzmann collision term from the multiple scattering expansion of the self-energy

We summarize our main findings in deriving the Boltzmann collision term from the Kadanoff-Baym relativistic transport equation and the multiple scattering expansion of the self-energy within a quasi-particle approximation. Our collision term is valid to all orders in perturbation theory and contains processes with any number of participating particles. This work completes a program initiated by Carrington and Mrówczyński and developed further by present authors and Weinstock in recent literature.