Regularized analytic evaluation of vacuum polarization in a Coulomb field
19907 pages
Published in:
- Phys.Rev.D 41 (1990) 3822-3828
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Abstract: (APS)
We have calculated analytically by a new Mellin transform method the vacuum-polarization contribution to the energy shift in a Coulomb field. Our method gives a finite answer which to lowest order in (Zα) for S states is ΔEVP=−(4α3π)[(Zα)4N3]29144. The method further allows a high- Z approximation. A magnetic contribution to the vacuum polarization is also indicated.- quantum electrodynamics
- fermion
- vacuum polarization
- electric field: external field
- energy levels
- Mellin transformation
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