Geodesic
Kinetic Theory of Quantum Electrodynamic Plasma in a~Strong Electromagnetic Field:~II. The Covariant Mean-Field Approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 161-176

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A covariant kinetic equation for the matrix Wigner function is derived in the mean-field approximation from a general kinetic equation for the fermionic subsystem of a quantum electrodynamic plasma. We show that in the semiclassical limit, the equations for the components of the Wigner function can be transformed into closed kinetic equations for the Lorentz-invariant distribution functions of particles and antiparticles.
Keywords: relativistic kinetic theory, quantum electrodynamic plasma, covariant mean-field approximation. 
@article{TMF_2002_132_1_a10,
     author = {V. G. Morozov and G. R\"opke and A. H\"oll},
     title = {Kinetic {Theory} of {Quantum} {Electrodynamic} {Plasma} in {a~Strong} {Electromagnetic} {Field:~II.} {The} {Covariant} {Mean-Field} {Approximation}},
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V. G. Morozov; G. Röpke; A. Höll. Kinetic Theory of Quantum Electrodynamic Plasma in a~Strong Electromagnetic Field:~II. The Covariant Mean-Field Approximation. Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 161-176. http://geodesic.mathdoc.fr/item/TMF_2002_132_1_a10/