F. Fillion-Gourdeau — Page 2

arXiv2006

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

Starting from the Kadanoff-Baym relativistic transport equation and the multiple scattering expansion of the self-energy, we obtain the Boltzmann collision terms for any number of participating particles to all orders in perturbation theory within a quasi-particle approximation. This work completes a program initiated by Carrington and Mrowczynski and developed further by present authors and Weinstock in recent literature.

hep-ph↗

arXiv2006

All orders transport theory from the multiple scattering expansion of the self-energy: the central cuts

We use the full multiple scattering expansion of the retarded self-energy to obtain the gain and loss rates present in the Kadanoff-Baym relativistic transport equation. The rates we obtain include processes with any number of particles. As a first approximation, we only consider central cuts in the self-energies, but otherwise our results are general. We specialize to the case of scalar field theory to compare with lowest order results. The main application of this work is relativistic transport theory of very dense systems, such as the quark-gluon plasma or the early universe, where multi-particle interactions are important.

hep-ph↗