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

Fuente: arXiv
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Autor principal: Volkov, Sergey
Formato: Preprint
Publicado: 2025
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author Volkov, Sergey
author_facet Volkov, Sergey
contents 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 $α^2 (Zα)^7$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02957
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle QED vacuum polarization in the Coulomb field of a nucleus: a method of high-order calculation
Volkov, Sergey
Atomic Physics
High Energy Physics - Phenomenology
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 $α^2 (Zα)^7$ 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.
title QED vacuum polarization in the Coulomb field of a nucleus: a method of high-order calculation
topic Atomic Physics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2510.02957