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.
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.
Keywords: Vacuum polarization, Dirac sea, Hartree-Fock approximation, Bogoliubov-Dirac-Fock model, Pauli-Villars regularization, charge renormalization, quantum electrodynamics
Mot 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
@article{JEDP_2012____A4_0, author = {Gravejat, Philippe and Hainzl, Christian and Lewin, Mathieu and S\'er\'e, \'Eric}, title = {Two {Hartree-Fock} models for the vacuum polarization}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {4}, pages = {1--31}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2012}, doi = {10.5802/jedp.87}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.87/} }
TY - JOUR AU - Gravejat, Philippe AU - Hainzl, Christian AU - Lewin, Mathieu AU - Séré, Éric TI - Two Hartree-Fock models for the vacuum polarization JO - Journées équations aux dérivées partielles PY - 2012 SP - 1 EP - 31 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.87/ DO - 10.5802/jedp.87 LA - en ID - JEDP_2012____A4_0 ER -
%0 Journal Article %A Gravejat, Philippe %A Hainzl, Christian %A Lewin, Mathieu %A Séré, Éric %T Two Hartree-Fock models for the vacuum polarization %J Journées équations aux dérivées partielles %D 2012 %P 1-31 %I Groupement de recherche 2434 du CNRS %U http://www.numdam.org/articles/10.5802/jedp.87/ %R 10.5802/jedp.87 %G en %F JEDP_2012____A4_0
Gravejat, Philippe; Hainzl, Christian; Lewin, Mathieu; Séré, Éric. Two Hartree-Fock models for the vacuum polarization. Journées équations aux dérivées partielles (2012), article no. 4, 31 p. doi : 10.5802/jedp.87. http://www.numdam.org/articles/10.5802/jedp.87/
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