QED vacuum polarization in the Coulomb field of a nucleus: a method of high-order calculation

2025/10/03 by Volkov, Sergey
#Atomic Physics (physics.atom-ph) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2510.02957

Abstract

A calculation of the QED vacuum polarization potential in the Coulomb field of a pointlike nucleus was presented in an earlier publication by the author and his collaborators. Corrections up to order α² (Zα)⁷ were evaluated, where Z is the nuclear charge number and Zα is treated as an independent variable. These corrections correspond to two-loop Feynman graphs with proper propagators of fermions in the external field. The calculation employed a reduction to free QED, leading to free QED Feynman graphs with up to eight independent loops. The method of calculation is described here in detail.

Citations

• Two-loop vacuum polarization in a Coulomb field
• Verification of the tenth-Order QED contribution to the anomalous magnetic moment of the electron from diagrams without fermion loops
• Calculation of the total 10-th order QED contribution to the electron magnetic moment
• Calculation of lepton magnetic moments in quantum electrodynamics: a justification of the flexible divergence elimination method

Cited by

• QED calculations of intra-L-shell doubly excited states in Be-like ions

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