Philippe Gravejat, Christian Hainzl, Mathieu Lewin, Eric Séré
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.
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http://arxiv.org/abs/1204.2893
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