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
TypeDocument de travail / Working paper
External document linkhttp://hal.archives-ouvertes.fr/hal-01018932
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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 / Keywordsno binding; Pekar-Tomasevitch model; Dirac sea; Dirac operator
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