 05104 Christian Hainzl, Mathieu Lewin, and Christof Sparber
 Existence of globalintime solutions to a generalized DiracFock type evolution equation
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Mar 14, 05

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Abstract. 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 HartreeFock type approximation, the elements describing the physical state of the electrons are infinite rank projectors. Using the BogoliubovDiracFock formalism, introduced by ChaixIracane (J. Phys. B. 22, 37913814, 1989), and recently established by HainzlLewinSere, we prove the existence of globalintime solutions of the considered evolution equation.
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