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Author Bialynicki-Birula, I. ♦ Gornicki, P. ♦ Rafelski, J.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ♦ QUANTUM CHROMODYNAMICS ♦ VACUUM STATES ♦ QUANTUM ELECTRODYNAMICS ♦ BOLTZMANN-VLASOV EQUATION ♦ CORRELATION FUNCTIONS ♦ DIFFERENTIAL EQUATIONS ♦ DIRAC EQUATION ♦ DISTRIBUTION FUNCTIONS ♦ ELECTROMAGNETIC FIELDS ♦ FEYNMAN DIAGRAM ♦ GAUGE INVARIANCE ♦ PHASE SPACE ♦ PLASMA ♦ S MATRIX ♦ SPIN ♦ ANGULAR MOMENTUM ♦ DIAGRAMS ♦ ELECTRODYNAMICS ♦ EQUATIONS ♦ FIELD THEORIES ♦ FUNCTIONS ♦ INVARIANCE PRINCIPLES ♦ MATHEMATICAL SPACE ♦ MATRICES ♦ PARTIAL DIFFERENTIAL EQUATIONS ♦ PARTICLE PROPERTIES ♦ QUANTUM FIELD THEORY ♦ SPACE ♦ WAVE EQUATIONS ♦ High Energy Physics- Field Theory ♦ High Energy Physics- Particle Invariance Principles & Symmetries ♦ High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory
Abstract We study the phase-space correlation function for the Dirac vacuum in the presence of simple field configurations. Our formalism rests on the Wigner transform of the Dirac-Heisenberg correlation function of the Dirac field coupled to the electromagnetic field. A self-consistent set of equations obeyed by the 16 components of the phase-space correlation function and by the electric and magnetic field is derived. Our approach is manifestly gauge invariant. A closed system of integro-differential equations is obtained neglecting the quantum fluctuations of the electromagnetic field as should be appropriate for strong fields. These equations are an extension of the Vlasov equations used in the description of plasma. Our first applications address the production of particles in strong external fields. We set a framework for the inclusion of the back reaction of produced particles and for the description of the local changes of the vacuum state.
ISSN 05562821
Educational Use Research
Learning Resource Type Article
Publisher Date 1991-09-15
Publisher Place United States
Journal Physical Review, D
Volume Number 44
Issue Number 6


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