Noncommutative QED and Muon Anomalous Magnetic Moment

TL;DR

This paper calculates the muon anomalous magnetic moment in noncommutative QED, showing that noncommutativity effects can significantly bridge the gap between standard model predictions and experimental measurements.

Contribution

It introduces a novel correction to the muon g-2 value from noncommutative geometry effects in QED, relevant to experimental conditions.

Findings

Noncommutative correction to a_mu is approximately 1.57×10^{-9}.

Correction aligns theoretical prediction closer to experimental data.

Relativistic muons in the experiment are assumed to stay at the lowest Landau level.

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.