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Phys. Rev. A 53, 3029–3043 (1996)

Renormalization of the second-order electron self-energy for a tightly bound atomic electron: A detailed derivation

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L. N. Labzowsky and A. O. Mitrushenkov
Institute of Physics, St. Petersburg State University, Petrodvorets, St. Petersburg 198904, Russia

Received 13 November 1995; published in the issue dated May 1996

A renormalized expression for the gauge invariant set of three second-order bound self-energy graphs is obtained. A nontrivial extra counterterm is found that is important for cancellation of infrared divergences. Also, a different type of infrared divergences specific to the bound-state QED is discussed and its cancellation is traced explicitly. The expression obtained is convenient for the application of the partial-wave renormalization technique. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.53.3029
DOI:
10.1103/PhysRevA.53.3029
PACS:
31.10.+z, 31.15.Ar, 31.30.Jv