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Magnetic correction to the Anomalous Magnetic Moment of Electron

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arxiv 2112.01051 v1 pith:RLMJB45K submitted 2021-12-02 hep-ph

classification hep-ph
keywords magneticcorrectionelectronfieldanomalousmagnitudemomentaround
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abstract

We investigate the leading order correction of anomalous magnetic moment (AMM) to the electron in weak magnetic field and find that the magnetic correction is negative and magnetic field dependent, indicating a magnetic catalysis effect for the electron gas. In the laboratory to measure the $g-2$, the magnitude of the magnetic field $B$ is several $\mathrm{T}$, correspondingly the magnetic correction to the AMM of electron/muon is around $10^{-34}$/$10^{-42}$, therefore the magnetic correction can be safely neglected in current measurement. However, when the magnitude of the magnetic field strength is comparable with the electron mass, the magnetic correction of electron's AMM will become considerable. This general magnetic correction to charged fermion's AMM can be extended to study QCD matter under strong magnetic field.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. QED vertex and anomalous magnetic moment in the presence of a magnetic field

    hep-ph 2026-07 unverdicted novelty 6.5 of 10

    In a magnetic field the QED fermion–photon vertex already splits at tree level into longitudinal and transverse pieces, and one-loop corrections generate direction-dependent anomalous magnetic moments with selection r...

  2. Functional renormalization group study of anomalous magnetic moment in a low energy effective theory

    hep-ph 2025-06 conditional novelty 6.0 of 10

    In a magnetized two-flavor effective theory, quark anomalous magnetic moments are dynamically generated with chiral symmetry breaking, with the down quark moment roughly four times the up quark.

  3. Magnetic field modifications to the pion-quark vertex in the Linear Sigma Model with quarks

    hep-ph 2026-08 reject novelty 5.0 of 10

    The magnetic field modifies the pion-quark vertex in the Linear Sigma Model; a tree-level modification vanishes after summing Landau levels, and the claimed one-loop LLL identity between Ritus and Schwinger methods fa...

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