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arXiv · 1407.1600

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

Jérémy Sok
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Abstract

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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Jérémy Sok. 2014-07-07. Absence of binding in a mean-field approximation of quantum electrodynamics. https://arxiv.org/abs/1407.1600

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