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}
}
  • Mathieu Lewin
  • Published 2011
  • Physics, Mathematics
  • arXiv: Mathematical Physics
  • 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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