European Congress of Mathematics
Kraków, 2 – 7 July, 2012
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We describe several recent results obtained in collaboration with P. Gravejat, C. Hainzl, E. Sere and J.P. Solovej, concerning a nonlinear model for the relativistic quantum vacuum in interaction with a classical electromagnetic field.
Keywords: Nonlinear analysis, variational methods, quantum mechanics, Dirac operator, renormalization, quantum electrodynamics, vacuum polarization