Unité Mixte de Recherche du C.N.R.S. N°7534

Abstract : We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed in a previous work by Ch. Hainzl. We fix an arbitrary ultraviolet cut-off parameter $\Lambda$ and recover the $\al^2$-term of the self-energy, where $\alpha$ is the coupling parameter representing the fine structure constant. Thereby we develop a method which allows to expand the self-energy up to any power of $\al$. This implies that perturbation theory in $\alpha$ is correct if the cut-off parameter $\Lambda$ is kept fix. As an immediate consequence we obtain enhanced binding for electrons.

 SELF-ENERGY OF ONE ELECTRON IN NON-RELATIVISTIC QED
 CATTO Isabelle, HAINZL Christian
2002-36
13-12-2002

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