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Self-energy of one electron in non-relativistic QED

I. Catto·Ch. Hainzl
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Abstract

We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed recently by C. Hainzl. We fix an arbitrary cut-off parameter Lambda and recover the alpha^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 alpha. This implies that perturbation theory is correct if Lambda is fix. As an immediate consequence we obtain enhanced binding for electrons.

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I. Catto, Ch. Hainzl. 2002-07-25. Self-energy of one electron in non-relativistic QED. https://arxiv.org/abs/math-ph/0207036

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