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

2006/03/31 by François Fillion‐Gourdeau, F. Fillion-Gourdeau, Jean-Sébastien Gagnon +3 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Boltzmann constant #Boltzmann equation #Classical mechanics #Collision #Computer science #Gas Dynamics and Kinetic Theory #High-Energy Particle Collisions Research #Nuclear reactor physics and engineering #Perturbation theory (quantum mechanics) #Physics #Quantum electrodynamics #Quantum mechanics #Scattering #Statistical physics #Term (time) #Work (physics) #hep-ph

paper · pdf · doi:10.1103/physrevd.74.025010

published as Phys.Rev. D74 (2006) 025010 · 30 pages, 10 figures, references added, typos corrected, 2 figures added, new paragraphs added to clarify notation

arxiv created 2006/05/25 · openalex publication_date 2006/07/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 quasiparticle approximation. This work completes a program initiated by Carrington and Mr'owczy\ifmmode \acuten\else 'n\fiski and developed further by present authors and Weinstock in recent literature.

Citations

• From quantum field theory to hydrodynamics: Transport coefficients and effective kinetic theory
• Exact Conservation Laws of the Gradient Expanded Kadanoff–Baym Equations
• In-medium effects on electromagnetic probes
• The color glass condensate: an overview
• Comparison of Boltzmann equations with quantum dynamics for scalar fields
• Scattering amplitude and shift in self-energy in medium
• Imaginary parts and infrared divergences of two-loop vector boson self-energies in thermal QCD
• Stochastic Interpretation of Kadanoff–Baym Equations and Their Relation to Langevin Processes
• Equilibration within a semiclassical off-shell transport approach
• Self-consistent approximations to non-equilibrium many-body theory

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