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The mean-field approximation to Quantum Electrodynamics. The no-photon case.

Mathematical Physics & Probability

Speaker: Christian Hainzl, University of Alabama at Birmingham
Location: 693 Kerr
Start time: Tue, Oct 25 2005, 3:10PM

Starting from a first-priciple QED Hamiltonian, in Coulomb gauge, neglecting photons, we show that, in a mean-field approximation, this Hamiltonian has a minimizer although it is a priori ill defined. We make sense out of it by means of an infinite volume limit.