Renormalized Electron Mass in Nonrelativistic QED
arXiv:0908.1858 · doi:10.1007/s00220-009-0960-8
Abstract
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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