# Self-consistent solution for the polarized vacuum in a no-photon QED model

@inproceedings{Hainzl2005SelfconsistentSF, title={Self-consistent solution for the polarized vacuum in a no-photon QED model}, author={Christian Hainzl and Mathieu Lewin and {\'E}ric S{\'e}r{\'e}}, year={2005} }

We study the Bogoliubov–Dirac–Fock model introduced by Chaix and Iracane (1989 J. Phys. B: At. Mol. Opt. Phys. 22 3791–814) which is a mean-field theory deduced from no-photon QED. The associated functional is bounded from below. In the presence of an external field, a minimizer, if it exists, is interpreted as the polarized vacuum and it solves a self-consistent equation. In a recent paper, we proved the convergence of the iterative fixed-point scheme naturally associated with this equation to… CONTINUE READING

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