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Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields

Séré, Eric; Lewin, Mathieu; Hainzl, Christian; Gravejat, Philippe (2013), Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields, Archive for Rational Mechanics and Analysis, 208, 2, p. 603-655. http://dx;doi.org/10.1007/s00205-012-0609-1

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Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00687272
Date
2013
Journal name
Archive for Rational Mechanics and Analysis
Volume
208
Number
2
Publisher
Springer
Pages
603-655
Publication identifier
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Author(s)
Séré, Eric
Lewin, Mathieu cc
Hainzl, Christian
Gravejat, Philippe
Abstract (EN)
Using the Pauli-Villars regularization and arguments from convex analysis, we construct the polarized Dirac vacuum, in the presence of small external electromagnetic fields. We describe the electrons by a Hartree-Fock-type theory and the photons by a self-consistent classical magnetic potential. The resulting vacuum polarization coincides on first order with that of full Quantum Electrodynamics.
Subjects / Keywords
Hartree-Fock-type theory; polarized Dirac vacuum; convex analysis; Pauli-Villars regularization