English

Renormalized Electron Mass in Nonrelativistic QED

Mathematical Physics 2010-01-15 v1 math.MP

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.

Keywords

Cite

@article{arxiv.0908.1858,
  title  = {Renormalized Electron Mass in Nonrelativistic QED},
  author = {Juerg Froehlich and Alessandro Pizzo},
  journal= {arXiv preprint arXiv:0908.1858},
  year   = {2010}
}