# Existence of Global-In-Time Solutions to a Generalized Dirac-Fock Type Evolution Equation

@article{Hainzl2005ExistenceOG, title={Existence of Global-In-Time Solutions to a Generalized Dirac-Fock Type Evolution Equation}, author={Christian Hainzl and Mathieu Lewinand and Christof Sparber}, journal={Letters in Mathematical Physics}, year={2005}, volume={72}, pages={99-113} }

We consider a generalized DiracFock type evolution equation deduced from nophoton Quantum Electrodynamics, which describes the selfconsistent timeevolution of relativistic electrons, the observable ones as well as those filling up the Dirac sea. This equation has been originally introduced by Dirac in 1934 in a simplified form. Since we work in a Hartree-Fock type approximation, the elements describing the physical state of the electrons are infinite rank projectors. Using the Bogoliubov-Dirac…

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