Renormalized Electron Mass in Nonrelativistic QED

Details Renormalized Electron Mass in Nonrelativistic QED Renormalized Electron Mass in Nonrelativistic QED

2009-08-13

arxiv.org/abs/0908.1858v1

Commun.Math.Phys.294:439-470,2010

Physics

Mathematical Physics

Scientific paper

10.1007/s00220-009-0960-8

Within the framework of nonrelativistic QED, we prove that, for small values
of the coupling constant, the energy function, E_|P|, of a dressed electron is
twice differentiable in the momentum P in a neighborhood of P = 0. Furthermore,
(E_|P|)" is bounded from below by a constant larger than zero. Our results are
proven with the help of iterative analytic perturbation theory.

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