Kinetic description of vacuum $e^{+}{e}^{-}$ production in strong electric fields of arbitrary polarization

Abstract

We present a detailed analysis of the self-consistent system of kinetic equations (KEs) describing electron-positron pair production from vacuum under the action of a spatially homogeneous time-dependent electric field of arbitrary polarization. The physical significance of all the basic functions of the kinetic theory is ascertained. It is demonstrated that the total system of the KEs consists of two coupled quasiparticle and spin subsystems with their integrals of motion. A projection method is proposed in order to obtain the KE system in two particular cases: linearly polarized external electric field and (2+1)-dimensional description of quasiparticles in graphene. We also address the energy conservation law taking into account the internal plasma field and describe an alternative rigorous derivation of the KE system.

arXiv comment15 pages

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Cited by in corpus (9)

• Advances in QED with intense background fields
• Total yield of electron-positron pairs produced from vacuum in strong electromagnetic fields: validity of the locally constant field approximation
• Kinetic theory of vacuum pair production in uniform electric fields revisited
• Radiation signal accompanying the Schwinger effect
• Instability of a uniform electric field in pure non-Abelian Yang-Mills theory
• Approximate Solutions of a Kinetic Theory for Graphene
• Analysis of the Third Harmonic of a Vacuum Response in a Subcritical Laser Field
• The physics of adiabatic particle number in the Schwinger effect
• Electron-hole pair production in graphene for two arbitrarily polarized electric fields with a time delay