Logarithmically enhanced Euler-Heisenberg Lagrangian contribution to the electron gyromagnetic factor

2020/08/17 by Andrzej Czarnecki, Jan Piclum, Robert Szafron · 17 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Electron #Euler's formula #Lagrangian #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Scattering #Solar and Space Plasma Dynamics #hep-ph #physics.atom-ph

paper · pdf · doi:10.1103/physreva.102.050801

published in Physical Review A 102(5) (American Physical Society) · 5 pages, 3 figures

arxiv created 2020/08/17 · openalex publication_date 2020/11/11 · arxiv updated 2020/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Contrary to what was previously believed, two-loop radiative corrections to the g factor of an electron bound in a hydrogenlike ion at O(\ensuremathα²(Z\ensuremathα)⁵) exhibit logarithmic enhancement. This previously unknown contribution is due to a long-distance light-by-light scattering amplitude. Taking an effective field theory approach, and using the Euler-Heisenberg Lagrangian, we find \mathrm\ensuremathΔg=\ensuremath-(\frac\ensuremathα\ensuremathπ)²(Z\ensuremathα)⁵\frac56\ensuremathπ135lnZ\ensuremathα.

Citations

• Radiative-nonrecoil corrections of orderα2(Zα)5to the Lamb shift
• Nonrelativistic QED Approach to the Bound-ElectrongFactor
• �ber die Streuung von Licht an Licht nach der Diracschen Theorie
• Asymptotic expansion of Feynman integrals near threshold
• Complete two-loop correction to the bound-electrongfactor
• gFactor of HydrogenlikeSi<mml:none/>13+<mml:mprescripts/><mml:none/>28
• Measurement of the fine-structure constant as a test of the Standard Model
• Theory of the Lamb shift in hydrogen and light hydrogen-like ions