Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields

Philippe Gravejat; Christian Hainzl; Mathieu Lewin; Eric Séré

hal-00687272, version 2

Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields

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

Résumé : Using the Pauli-Villars regularization and arguments from convex analysis, we construct the 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 on first order with that of full Quantum Electrodynamics.

1 : Centre de Mathématiques Laurent Schwartz (CMLS-EcolePolytechnique)
CNRS : UMR7640 – Polytechnique - X
2 : Mathematisches Institut
Tübingen Universität - Tübingen University
3 : Laboratoire d'Analyse, Géométrie et Modélisation (AGM)
CNRS : UMR8088 – Université de Cergy Pontoise
4 : CEntre de REcherches en MAthématiques de la DEcision (CEREMADE)
CNRS : UMR7534 – Université Paris IX - Paris Dauphine

hal-00687272, version 2
http://hal.archives-ouvertes.fr/hal-00687272
oai:hal.archives-ouvertes.fr:hal-00687272
Contributeur : Mathieu Lewin <>
Soumis le : Jeudi 3 Mai 2012, 12:11:52
Dernière modification le : Jeudi 3 Mai 2012, 12:18:32

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arXiv : 1204.2893

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