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Renormalization of the two-photon vacuum polarization and the self energy vacuum polarization for a tightly bound electron

  • S. Zschocke
  • G. Plunien
  • G. Soff

Abstract:

The renormalization method of Bogoljubov-Parasiuk-Hepp-Zimmermann (BPHZ) is used in order to derive the renormalized energy shift due to the gauge invariant Källén-Sabry diagram of the two-photon vacuum polarization (VPVP) as well as the self energy vacuum polarization S(VP)E beyond the Uehling approximation. It is outlined, that no outer renormalization is required for the two-photon vacuum polarization and that only the inner renormalization has to be accomplished. It is shown that the so-called nongauge invariant spurious term is absent for a wide class of vacuum polarization (VP) diagrams if one applies the widely used spherical expansion of bound and free-electron propagator. This simplifies significantly calculations in bound state quantum electrodynamics. As one result of our paper the use of the BPHZ-approach in bound state QED is established.

PACS. 31.30.Jv Relativistic and quantum electrodynamic effects in atoms and molecules 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2002

Authors and Affiliations

  • S. Zschocke
    • 1
  • G. Plunien
    • 1
  • G. Soff
    • 1
  1. 1.Institut für Theoretische Physik, Technische Universität Dresden, Mommsenstrasse 13, 01062 Dresden, GermanyDE

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