The general relativistic effects to the magnetic moment in the Earth's gravity

Abstract

The magnetic moment of free fermions in the Earth's gravitational field has been studied on the basis of the general relativity. Adopting the Schwarzschild metric for the background spacetime, the dipole coupling between the magnetic moment and the magnetic field has been found to be dependent of the gravity in the calculation up to the post-Newtonian order $O(1/c^2)$. The gravity-dependence can be formulated by employing the effective value of the magnetic moment as a gravity-dependent quantity ${\mu }_{\mathrm{m}}^{\mathrm{eff}}=(1+3\varphi /c^2){\mu }_{\mathrm{m}}$ commonly for the cases of minimal coupling, non-minimal coupling and their mixture. The gravitationally induced anomaly is found to be canceled in the experimental values of the anomalous magnetic moment measured in the Penning trap and storage ring methods.

This is a revised version of arXiv:1801.10244. Our three submitted papers of series (arXiv:1801.10244, arXiv:1801.10245, arXiv:1801.10246) are combined into a single paper

References in corpus (3)

• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Muon g-2: Review of Theory and Experiment
• Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops

Cited by in corpus (6)

• Quantification of GR effects in muon g-2, EDM and other spin precession experiments
• Inertial and gravitational effects on a geonium atom
• Gravitational Effects in g Factor Measurements and High-Precision Spectroscopy: Limits of Einstein's Equivalence Principle
• Atom interferometers in weakly curved spacetimes using Bragg diffraction and Bloch oscillations
• Gravitational effects on geonium and free electron ${\mathrm{g}}_s$-factor measurements in a Penning trap
• Charting the new physics through one-loop effects in the muon magnetic dipole moment