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Construction of the self-consistent Dirac vacuum in electromagnetic fields

Presented by: 
E Séré Université Paris-Dauphine
Monday 30th July 2012 - 10:00 to 10:45
INI Seminar Room 1
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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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons