Renormalized Electron Mass in Nonrelativistic QED
Open Access Publications from the University of California

## Renormalized Electron Mass in Nonrelativistic QED

• Author(s): Fröhlich, Jürg
• Pizzo, Alessandro
• et al.

## Published Web Location

https://doi.org/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, $${E_{\vec{P}}}$$ , of a dressed electron is twice differentiable in the momentum $${\vec{P}}$$ in a neighborhood of $${\vec{P}=0}$$ . Furthermore, $${\frac{\partial^2E_{\vec{P}}}{(\partial |\vec{P}|)^2}}$$ 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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