Renormalization of Dirac's polarized vacuum

zbMATH Open1238.81101arXiv1010.0075MaRDI QIDQ2884714

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Publication date: 18 May 2012

Abstract: 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 $Lambdaoinfty$ in detail, by resorting to charge renormalization.

Full work available at URL: https://arxiv.org/abs/1010.0075

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