Two Hartree-Fock models for the vacuum polarization
[Deux modèles de Hartree-Fock pour la polarisation du vide]
Gravejat, Philippe ; Hainzl, Christian ; Lewin, Mathieu ; Séré, Éric
Journées équations aux dérivées partielles, (2012), p. 1-31 / Harvested from Numdam
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Nous présentons des résultats récents sur la dérivation et l’analyse de deux modèles de type Hartree-Fock pour la polarisation du vide. Nous portons une attention particulière à la construction variationnelle d’un vide polarisé auto-consistent, et à la pertinence physique de notre construction non perturbative vis-à-vis de la description perturbative donnée par l’électrodynamique quantique.

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.

Publié le : 2012-01-01
DOI : https://doi.org/10.5802/jedp.87
Classification:  35Q41,  49S05,  81T16,  81V10
Mots clés: Polarisation du vide, mer de Dirac, approximation de type Hartree-Fock, modèle de Bogoliubov-Dirac-Fock, régularisation de Pauli-Villars, renormalisation de la charge, électrodynamique quantique 
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     title = {Two Hartree-Fock models for the vacuum polarization},
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     year = {2012},
     pages = {1-31},
     doi = {10.5802/jedp.87},
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Gravejat, Philippe; Hainzl, Christian; Lewin, Mathieu; Séré, Éric. Two Hartree-Fock models for the vacuum polarization. Journées équations aux dérivées partielles,  (2012), pp. 1-31. doi : 10.5802/jedp.87. http://gdmltest.u-ga.fr/item/JEDP_2012____A4_0/

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