Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-07-31
Eur.Phys.J.D19:147-156,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, latex, 12 figures
Scientific paper
10.1007/s10053-002-8865-5
The renormalization method of Bogoljubov-Parasiuk-Hepp-Zimmermann (BPHZ) is used in order to derive the renormalized energy shift due to the gauge invariant K\"all\'en-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 b e 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 propagat or. This simplifies significantly calculations in bound state quantum electrodynamis . As one result of our paper the use of the BPHZ-approach in bound state QED is established.
Plunien Guenter
Soff Gerhard
Zschocke Sven
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