Mohr, P.
, Indelicatio, P.
and Sapirstein, J.
(2014),
Coordinate-space approach to vacuum polarization, Physical Review A
(Accessed January 14, 2026)
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Coordinate-space approach to vacuum polarization
Published
Author(s)
, P Indelicatio, J. Sapirstein
Abstract
The vacuum-polarization correction for bound electrons or muons is examined. The objective is to formulate a framework for calculating the correction from bound-state quantum electrodynamics entirely in coordinate space, including the Uehling potential which is usually isolated and treated separately. Pauli-Villars regularization is applied to the coordinate-space calculation and the most singular terms are shown to be eliminated, leaving the physical correction after charge renormalization. The conventional derivation of the Uehling potential in momentum space is reviewed and compared to the coordinate-space derivation.Citation
Physical Review A
Issue
89
Pub Type
Journals
Keywords
vacuum polarization, qed, renormalization, muonic hydrogen
Citation
Issues
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Created April 28, 2014, Updated February 19, 2017