Self-energy of one electron in non-relativistic QED

2002/07/25 by Isabelle Catto, I. Catto, Catto, I. +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0207036

arxiv created 2002/07/25 · openalex publication_date 2002/07/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 alpha²-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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