Vacuum Polarization in Self-Field Quantum Electrodynamics

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Foundations of Physics 28 (5):815-828 (1998)
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Abstract

We have evaluated analytically the vacuum polarization in a Coulomb field using the relativistic Dirac-Coulomb wave functions by a new method. The result is made finite by an appropriate choice of contour integrations and gives the standard result in the lowest order of iteration. We used the formalism of self-field quantum electrodynamics in the evaluation of the vacuum polarization which needs neither field quantization nor renormalization. There are no infrared or ultraviolet divergences

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10.1023/a:1018806121792

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