Two-loop self-energy corrections to the fine structure

Ulrich D. Jentschura, Krzysztof Pachucki

Research output: Contribution to journalArticle

37 Citations (Scopus)


We investigate two-loop higher order binding corrections to the fine structure, which contribute to the spin-dependent part of the Lamb shift. Our calculation focuses on the so-called 'two-loop self-energy' involving two virtual closed photon loops. For bound states, this correction has proved to be notoriously difficult to evaluate. The calculation of the binding corrections to the bound-state two-loop self-energy is simplified by a separate treatment of hard and soft virtual photons. The two photon-energy scales are matched at the end of the calculation. We explain the significance of the mathematical methods employed in the calculation in a more general context, and present results for the fine-structure difference of the two-loop self-energy through the order of α8.

Original languageEnglish
Pages (from-to)1927-1942
Number of pages16
JournalJournal of Physics A: Mathematical and General
Issue number8
Publication statusPublished - Mar 1 2002

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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