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

Sok, Jérémy (2014), Absence of binding in a mean-field approximation of quantum electrodynamics. https://basepub.dauphine.fr/handle/123456789/13746

Type
Document de travail / Working paper
External document link
http://hal.archives-ouvertes.fr/hal-01018932
Date
2014
Publisher
Université Paris-Dauphine
Published in
Paris
Pages
43
Metadata
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Author(s)
Sok, Jérémy
Abstract (EN)
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.
Subjects / Keywords
no binding; Pekar-Tomasevitch model; Dirac sea; Dirac operator