Semi-Classical Dirac Vacuum Polarisation in a Scalar Field

Jonas Lampart; Mathieu Lewin

doi:10.1007/s00023-016-0472-y

Semi-Classical Dirac Vacuum Polarisation in a Scalar Field

Jonas Lampart
, Mathieu Lewin

Université Paris Dauphine

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	1937-1954
Nombre de pages	18
journal	Annales Henri Poincare
Volume	17
Numéro de publication	8
Les DOIs	https://doi.org/10.1007/s00023-016-0472-y
état	Publié - 1 août 2016
Modification externe	Oui

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10.1007/s00023-016-0472-y

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abstract = "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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AB - 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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Semi-Classical Dirac Vacuum Polarisation in a Scalar Field

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