Mass renormalization and energy level shift in non-relativistic QED Journal Article


Author(s): Hainzl, Christian; Seiringer, Robert
Article Title: Mass renormalization and energy level shift in non-relativistic QED
Affiliation
Abstract: Using the Pauli-Fierz model of non-relativistic quantum electrodynamics, we calculate the binding energy of an electron in the field of a nucleus of charge Z and in presence of the quantized radiation field. We consider the case of small coupling constant α, but fixed Zα and ultraviolet cut-off Λ. We prove that after renormalizing the mass the binding energy has, to leading order in α, a finite limit as Λ goes to infinity; i.e., the cut-off can be removed. The expression for the ground state energy shift thus obtained agrees with Bethe's formula for small values of Zα, but shows a different behavior for bigger values.
Journal Title: Advances in Theoretical and Mathematical Physics
Volume: 6
Issue 5
ISSN: 1095-0761
Publisher: International Press  
Date Published: 2002-09-01
Start Page: 847
End Page: 871
URL:
Open access: yes (repository)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer
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