Semi-classical Dirac vacuum polarisation in a scalar field
Résumé
We study vacuum polarisation effects of a Dirac field coupled to an external scalar field and derive a semi-classical expansion of the regu-larised 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.
Domaines
Physique mathématique [math-ph]
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Lampart, Lewin - semi-classical Dirac vacuum polarisation in a scalar field.pdf (382.9 Ko)
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