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

Abstract

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.

arXiv comment30 pages, 10 figures, references added, typos corrected, 2 figures added, new paragraphs added to clarify notation

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• Perturbative Non-Equilibrium Thermal Field Theory to all Orders in Gradient Expansion