# Renormalization of Dirac's Polarized Vacuum

@article{Lewin2011RenormalizationOD, title={Renormalization of Dirac's Polarized Vacuum}, author={Mathieu Lewin}, journal={arXiv: Mathematical Physics}, year={2011}, pages={45-59} }

We review recent results on a mean-field model for relativistic electrons in atoms and molecules, which allows to describe at the same time the self-consistent behavior of the polarized Dirac sea. We quickly derive this model from Quantum Electrodynamics and state the existence of solutions, imposing an ultraviolet cut-off $\Lambda$. We then discuss the limit $\Lambda\to\infty$ in detail, by resorting to charge renormalization.

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## Two Hartree-Fock models for the vacuum polarization

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