Annales Henri Poincaré

, Volume 17, Issue 8, pp 1937–1954 | Cite as

Semi-Classical Dirac Vacuum Polarisation in a Scalar Field

  • Jonas LampartEmail author
  • Mathieu Lewin


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.


Vacuum Energy Lewin Derivative Expansion Dirac Particle Mathematical Society Lecture Note Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer International Publishing 2016

Authors and Affiliations

  1. 1.PSL Research University & CEREMADE (UMR CNRS 7534)Paris Cedex 16France

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