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

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

2012-04-13

arxiv.org/abs/1204.2893v1

Physics

Mathematical Physics

Scientific paper

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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