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Semi-Classical Dirac Vacuum Polarisation in a Scalar Field

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Date
2016
Link to item file
https://arxiv.org/abs/1506.00895v3
Dewey
Sciences connexes (physique, astrophysique)
Sujet
vacuum polarisation
Journal issue
Annales Henri Poincaré
Volume
17
Number
8
Publication date
2016
Article pages
1937-1954
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s00023-016-0472-y
URI
https://basepub.dauphine.fr/handle/123456789/16315
Collections
  • CEREMADE : Publications
Metadata
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Author
Lampart, Jonas
Lewin, Mathieu
Type
Article accepté pour publication ou publié
Abstract (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.

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