Renormalization of Dirac's Polarized Vacuum
arXiv:1010.0075 · doi:10.1142/9789814350365_0004
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 $Î$. We then discuss the limit $Î\to\infty$ in detail, by resorting to charge renormalization.
Proceedings of the Conference QMath 11 held in Hradec Králové (Czechia) in September 2010