Abstract:
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.
Citation:
V. G. Morozov, G. Röpke, A. Höll, “Kinetic Theory of Quantum Electrodynamic Plasma in a Strong Electromagnetic Field: II. The Covariant Mean-Field Approximation”, TMF, 132:1 (2002), 161–176; Theoret. and Math. Phys., 132:1 (2002), 1029–1042
This publication is cited in the following 17 articles:
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Zakharov I V., Prokhorov G.Yu., Teryaev V O., “Polarization of Elementary Particles in Heavy-Ion Collisions as a Manifestation of Quantum Field Theory Anomalies”, Phys. Part. Nuclei, 52:4 (2021), 522–528
Georgy Prokhorov, Oleg Teryaev, Valentin Zakharov, “Calculation of Acceleration Effects Using the Zubarev Density Operator”, Particles, 3:1 (2020), 1
Mykhailo Tokarchuk, Petro Hlushak, “Unification of Thermo Field Kinetic and Hydrodynamics Approaches in the Theory of Dense Quantum–Field Systems”, Particles, 2:1 (2018), 1
Mahajan S.M., Asenjo F.A., “A statistical model for relativistic quantum fluids interacting with an intense electromagnetic wave”, Phys. Plasmas, 23:5 (2016), 056301
Levai P., Skokov V., “Nonperturbative enhancement of heavy quark-pair production in a strong SU(2) color field”, Phys Rev D, 82:7 (2010), 074014
Wong C.Y., “Klein-Gordon equation in hydrodynamical form”, J Math Phys, 51:12 (2010), 122304
Thoma, MH, “Colloquium: Field theoretic description of ultrarelativistic electron-positron plasmas”, Reviews of Modern Physics, 81:3 (2009), 959
Skokov, VV, “Transverse and longitudinal momentum spectra of fermions produced in strong SU(2) fields”, Physical Review D, 78:5 (2008), 054004
A. G. Lavkin, A. V. Prozorkevich, S. A. Smolyanskii, A. V. Filatov, “Issledovanie izotropizatsii partonnoi plazmy pri stolknoveniyakh tyazhelykh ionov”, Izv. Sarat. un-ta. Nov. cer. Ser. Fizika, 7:2 (2007), 50–55
Alvarez-Estrada, RE, “Lionville and Fokker-Planck dynamics for classical plasmas and radiation”, Annalen der Physik, 15:6 (2006), 379
Reinholz, H, “Dielectric and optical properties of dense plasmas”, Annales de Physique, 30:4–5 (2005), 1
Pervushin, VN, “The kinetic description of vacuum particle creation in the oscillator representation”, International Journal of Modern Physics A, 20:24 (2005), 5689
O. I. Sokolovs'kyi, A. A. Stupka, “Equations of Electrodynamics in a Hydrodynamic Medium with Regard for Nonequilibrium Fluctuations”, Ukr Math J, 57:6 (2005), 1004
Ropke, G, “The physics of quark-gluon plasma and relativistic charged particle systems”, Contributions To Plasma Physics, 43:5–6 (2003), 350
Holl, A, “Covariant linear response theory of relativistic QED plasmas”, Physica A-Statistical Mechanics and Its Applications, 319 (2003), 371
Prozorkevich A.V., Smolyansky S.A., Ilyin S.V., “A Vlasov type kinetic equation for quarks in strong gluon fields”, Proceedings of the Conference Progress in Nonequilibrium Green's Functions II, 2003, 401–408