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Construction of the self-consistent Dirac vacuum in electromagnetic fields

Séré, E (Université Paris-Dauphine)
Monday 30 July 2012, 10:00-10:45

Seminar Room 1, Newton Institute


This is joint work with Philippe Gravejat, Christian Hainzl and Mathieu Lewin ( Using the Pauli-Villars regularization and arguments from convex analysis, we construct the self-consistent 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 to first order with that of full Quantum Electrodynamics.


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