The Boltzmann Equation in Classical and Quantum Field Theory

Details The Boltzmann Equation in Classical and Quantum Field Theory The Boltzmann Equation in Classical and Quantum Field Theory

2004-12-08

arxiv.org/abs/hep-ph/0412121v3

Phys.Rev. C72 (2005) 014907

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 3 eps figures. Version to appear in Physical Review C

Scientific paper

10.1103/PhysRevC.72.014907

Improving upon the previous treatment by Mueller and Son, we derive the Boltzmann equation that results from a classical scalar field theory. This is obtained by starting from the corresponding quantum field theory and taking the classical limit with particular emphasis on the path integral and perturbation theory. A previously overlooked Van-Vleck determinant is shown to control the tadpole type of self-energy that can still appear in the classical perturbation theory. Further comments on the validity of the approximations and possible applications are also given.

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