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Pré-Publication, Document De Travail Année : 2015

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 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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Dates et versions

hal-01159107 , version 1 (02-06-2015)
hal-01159107 , version 2 (15-06-2015)
hal-01159107 , version 3 (23-02-2016)

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Jonas Lampart, Mathieu Lewin. Semi-classical Dirac vacuum polarisation in a scalar field. 2015. ⟨hal-01159107v1⟩
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