Absence of binding in a mean-field approximation of quantum electrodynamics - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2014

Absence of binding in a mean-field approximation of quantum electrodynamics

Résumé

We study the Bogoliubov-Dirac-Fock model which is a mean-field approximation of QED. It allows to consider relativistic electrons interacting with the Dirac sea. We study the system of two electrons in the vacuum: it has been shown in a previous work that an electron alone can bind due to the vacuum polarization, under some technical assumptions. Here we prove the absence of binding for the system of two electrons: the response of the vacuum is not sufficient to counterbalance the repulsion of the electrons.
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Dates et versions

hal-01018932 , version 1 (07-07-2014)
hal-01018932 , version 2 (15-09-2014)

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Jérémy Sok. Absence of binding in a mean-field approximation of quantum electrodynamics. 2014. ⟨hal-01018932v1⟩
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