Theory of bound-electron g factor in highly charged ions
V. M. Shabaev, D. A. Glazov, G. Plunien, and A. V. Volotka

TL;DR
This paper reviews the theoretical calculations of the bound-electron g factor in highly charged ions, focusing on relativistic, QED, nuclear, and interelectronic effects, and discusses tests of QED and fundamental constants.
Contribution
It provides a comprehensive overview of current theoretical approaches and highlights recent progress in testing QED effects at strong coupling regimes.
Findings
QED effects can be tested at strong coupling regimes
Theoretical calculations include relativistic, QED, nuclear, and interelectronic corrections
Advances aid in precise determination of fundamental constants
Abstract
The paper presents the current status of the theory of bound-electron g factor in highly charged ions. The calculations of the relativistic, QED, nuclear recoil, nuclear structure, and interelectronic-interaction corrections to the g factor are reviewed. Special attention is paid to tests of QED effects at strong coupling regime and determinations of the fundamental constants.
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