Two Hartree-Fock models for the vacuum polarization

Philippe Gravejat (1) , Christian Hainzl (2) , Mathieu Lewin (3) , Eric Séré (4)

1 CMLS - Centre de Mathématiques Laurent Schwartz
2 Mathematisches Institut [Tübingen]
3 AGM - UMR 8088 - Analyse, Géométrie et Modélisation
4 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We review recent results about the derivation and the analysis of two Hartree-Fock-type models for the polarization of vacuum. We pay particular attention to the variational construction of a self-consistent polarized vacuum, and to the physical agreement between our non-perturbative construction and the perturbative description provided by Quantum Electrodynamics.

Mots clés: Vacuum polarization; Dirac sea; Hartree-Fock approximation; Bogoliubov-Dirac-Fock model; Pauli-Villars regularization; charge renormalization; Quantum Electrodynamics

Domaines: Physique mathématique [math-ph]

Philippe Gravejat, Christian Hainzl, Mathieu Lewin, Eric Séré. Two Hartree-Fock models for the vacuum polarization. Days on PDEs 2012, Jun 2012, Biarritz, France. ⟨hal-00736002⟩