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Construction of the self-consistent Dirac vacuum in electromagnetic fields

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Spectral Theory of Relativistic Operators

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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