Self-energy of one electron in non-relativistic QED |
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Authors: | Isabelle Catto Christian Hainzl |
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Institution: | a CEREMADE, CNRS UMR 7534, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, F-75775 Paris, Cedex 16, France b Mathematisches Institut, LMU München, Theresienstrasse 39, 80333 Munich, Germany |
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Abstract: | We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed in Hainzl (Ann. H. Poincaré, in press). We fix an arbitrary cut-off parameter Λ and recover the α2-term of the self-energy, where α 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 α. This implies that perturbation theory in α is correct if Λ is fix. As an immediate consequence we obtain enhanced binding for electrons. |
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Keywords: | QED Self-energy Enhanced binding |
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