A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics

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Hainzl, Christian
Lewin, Mathieu
Sere, Eric
Solovej, Jan Philip
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Abstract
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We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles like electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The model is derived from the QED Hamiltonian in Coulomb gauge neglecting the photon field. All our results are non-perturbative and mathematically rigorous.
Comment: 18 pages, 3 figures
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Physics - Atomic Physics, Mathematical Physics
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