ar X iv : m at h - ph / 0 50 30 75 v 1 3 1 M ar 2 00 5 The Mean - Field Approximation in Quantum Electrodynamics . The no - photon case

Abstract

We study the mean-field approximation of Quantum Electrodynamics, by means of a thermodynamic limit. The QED Hamiltonian is written in Coulomb gauge and does not contain any normal-ordering or choice of bare electron/positron subspaces. Neglecting photons, we define properly this Hamiltonian in a finite box [−L/2; L/2) 3 , with periodic boundary conditions… (More)

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@inproceedings{HAINZLarXI, title={ar X iv : m at h - ph / 0 50 30 75 v 1 3 1 M ar 2 00 5 The Mean - Field Approximation in Quantum Electrodynamics . The no - photon case}, author={Christian HAINZL and Mathieu Lewin and Jan Philip SOLOVEJ} }