Two Hartree-Fock models for the vacuum polarization

Philippe Gravejat[1]; Christian Hainzl[2]; Mathieu Lewin[3]; Éric Séré[4]

  • [1] Centre de Mathématiques Laurent Schwartz (UMR 7640) École Polytechnique F-91128 Palaiseau Cedex France
  • [2] Mathematisches Institut Auf der Morgenstelle 10 D-72076 Tübingen Germany
  • [3] Centre National de la Recherche Scientifique and Laboratoire de Mathématiques (UMR 8088) Université de Cergy-Pontoise F-95000 Cergy-Pontoise France
  • [4] Centre de Recherche en Mathématiques de la Décision (UMR 7534) Université Paris-Dauphine Place du Maréchal De Lattre de Tassigny F-75775 Paris Cedex 16 France

Journées Équations aux dérivées partielles (2012)

  • Volume: 208, Issue: 2, page 1-31
  • ISSN: 0752-0360

Abstract

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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.

How to cite

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Gravejat, Philippe, et al. "Two Hartree-Fock models for the vacuum polarization." Journées Équations aux dérivées partielles 208.2 (2012): 1-31. <http://eudml.org/doc/275422>.

@article{Gravejat2012,
abstract = {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.},
affiliation = {Centre de Mathématiques Laurent Schwartz (UMR 7640) École Polytechnique F-91128 Palaiseau Cedex France; Mathematisches Institut Auf der Morgenstelle 10 D-72076 Tübingen Germany; Centre National de la Recherche Scientifique and Laboratoire de Mathématiques (UMR 8088) Université de Cergy-Pontoise F-95000 Cergy-Pontoise France; Centre de Recherche en Mathématiques de la Décision (UMR 7534) Université Paris-Dauphine Place du Maréchal De Lattre de Tassigny F-75775 Paris Cedex 16 France},
author = {Gravejat, Philippe, Hainzl, Christian, Lewin, Mathieu, Séré, Éric},
journal = {Journées Équations aux dérivées partielles},
keywords = {Vacuum polarization; Dirac sea; Hartree-Fock approximation; Bogoliubov-Dirac-Fock model; Pauli-Villars regularization; charge renormalization; quantum electrodynamics; divergent Feynman integrals; vacuum polarization; external electromagnetic source; photon propagator; Dirac vacuum},
language = {eng},
number = {2},
pages = {1-31},
publisher = {Groupement de recherche 2434 du CNRS},
title = {Two Hartree-Fock models for the vacuum polarization},
url = {http://eudml.org/doc/275422},
volume = {208},
year = {2012},
}

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
PB - Groupement de recherche 2434 du CNRS
VL - 208
IS - 2
SP - 1
EP - 31
AB - 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.
LA - eng
KW - Vacuum polarization; Dirac sea; Hartree-Fock approximation; Bogoliubov-Dirac-Fock model; Pauli-Villars regularization; charge renormalization; quantum electrodynamics; divergent Feynman integrals; vacuum polarization; external electromagnetic source; photon propagator; Dirac vacuum
UR - http://eudml.org/doc/275422
ER -

References

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