Absence of binding in a mean-field approximation of quantum electrodynamics
Mathematical Physics
2014-09-16 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1407.1600,
title = {Absence of binding in a mean-field approximation of quantum electrodynamics},
author = {Jérémy Sok},
journal= {arXiv preprint arXiv:1407.1600},
year = {2014}
}