Construction of the self-consistent Dirac vacuum in electromagnetic fields
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 (arxiv.org/1204.2893). 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.