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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
External document link
https://arxiv.org/abs/1506.00895v3
Date
2016
Journal name
Annales Henri Poincaré
Volume
17
Number
8
Publisher
Springer
Pages
1937-1954
Publication identifier
10.1007/s00023-016-0472-y
Metadata
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Author(s)
Lampart, Jonas cc

Lewin, Mathieu cc
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.
Subjects / Keywords
vacuum polarisation

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