Noncommutative QED and Muon Anomalous Magnetic Moment

Abstract

The muon anomalous $g$ value, $a_{\mu }=(g-2)/2$, is calculated up to one-loop level in noncommutative QED. We argue that relativistic muon in E821 experiment nearly always stays at the lowest Landau level. So that spatial coordinates of muon do not commute each other. Using parameters of E821 experiment, $B=14.5$KG and muon energy 3.09GeV/c, we obtain the noncommutativity correction to $a_{\mu }$ is about $1.57\times 10^{-9}$, which significantly makes standard model prediction close to experiment.

revtex, 6 page, 5 figures

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• Muon anomalous magnetic moment in the standard model extension
• The covariant form of the gauge anomaly on noncommutative R2n
• Constraints on Non-Commutative Physics Scale with Neutrino-Electron Scattering
• Towards Noncommutative Fuzzy QED
• Nucleon structure functions in noncommutative space-time
• Backward Compton Scattering and QED with Noncommutative Plane in the Strong Uniform Magnetic Field
• Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars?
• Discrete Spacetime Theories Can Explain the Muon Magnetic Moment Discrepancy