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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1937-1954
Number of pages	18
Journal	Annales Henri Poincare
Volume	17
Issue number	8
DOIs	https://doi.org/10.1007/s00023-016-0472-y
Publication status	Published - 1 Aug 2016
Externally published	Yes

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title = "Semi-Classical Dirac Vacuum Polarisation in a Scalar Field",

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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JO - Annales Henri Poincare

JF - Annales Henri Poincare

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Semi-Classical Dirac Vacuum Polarisation in a Scalar Field

Abstract

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