Self-energy of one electron in non-relativistic QED

Catto, Isabelle; Hainzl, Christian

Catto, Isabelle; Hainzl, Christian (2004), Self-energy of one electron in non-relativistic QED, Journal of Functional Analysis, 207, 1, p. 68-110. http://dx.doi.org/10.1016/S0022-1236(03)00064-8

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Type

Article accepté pour publication ou publié

External document link

https://arxiv.org/abs/math-ph/0207036v1

Date

2004

Journal name

Journal of Functional Analysis

Volume

207

Number

Publisher

Academic Press

Pages

68-110

Abstract (EN)

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.

Subjects / Keywords

Enhanced binding; QED; Self-energy