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Semi-Classical Dirac Vacuum Polarisation in a Scalar Field

Lampart, Jonas; Lewin, Mathieu (2016), Semi-Classical Dirac Vacuum Polarisation in a Scalar Field, Annales Henri Poincaré, 17, 8, p. 1937-1954. 10.1007/s00023-016-0472-y

Type
Article accepté pour publication ou publié
Lien vers un document non conservé dans cette base
https://arxiv.org/abs/1506.00895v3
Date
2016
Nom de la revue
Annales Henri Poincaré
Volume
17
Numéro
8
Éditeur
Springer
Pages
1937-1954
Identifiant publication
Métadonnées
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Auteur(s)
Lampart, Jonas cc

Lewin, Mathieu cc
Résumé (EN)
We study vacuum polarisation effects of a Dirac field coupled to an external scalar field and derive a semi-classical expansion of the regularised vacuum energy. The leading order of this expansion is given by a classical formula due to Chin, Lee-Wick and Walecka, for which our result provides the first rigorous proof. We then discuss applications to the non-relativistic large-coupling limit of an interacting system, and to the stability of homogeneous systems.
Mots-clés
vacuum polarisation