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Rapport Année : 2012

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

Résumé

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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Dates et versions

hal-00687272 , version 1 (12-04-2012)
hal-00687272 , version 2 (03-05-2012)
hal-00687272 , version 3 (11-12-2012)

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Philippe Gravejat, Christian Hainzl, Mathieu Lewin, Eric Séré. Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields. 2012. ⟨hal-00687272v1⟩
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