Noncommutative magnetic moment of charged particles

Abstract

It has been argued, that in noncommutative field theories sizes of physical objects cannot be taken smaller than an elementary length related to noncommutativity parameters. By gauge-covariantly extending field equations of noncommutative U(1)_*-theory to the presence of external sources, we find electric and magnetic fields produces by an extended charge. We find that such a charge, apart from being an ordinary electric monopole, is also a magnetic dipole. By writing off the existing experimental clearance in the value of the lepton magnetic moments for the present effect, we get the bound on noncommutativity at the level of 10^4 TeV.

9 pages, revtex; v2: replaced to match the published version

References in corpus (13)

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• Noncommutative Point Sources
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• Twist to close
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
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• Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED
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Cited by in corpus (17)

• Hydrogen atom on curved noncommutative space
• Quantum mechanics with coordinate dependent noncommutativity
• Nonlinear magnetic response of the magnetized vacuum to applied electric field
• Classical Noncommutative Electrodynamics with External Source
• Magnetic response to applied electrostatic field in external magnetic field
• Resonant-bar detectors of gravitational wave as possible probe of the noncommutative structure of space
• Nonlinear corrections in basic problems of electro- and magneto-statics in the vacuum
• Photon propagation in noncommutative QED with constant external field
• Footprint of spatial noncommutativity in resonant detectors of gravitational wave
• Analogy between the Schwarzschild solution in a noncommutative gauge theory and the Reissner-Nordström metric
• Signatures of noncommutativity in bar detectors of gravitational waves
• Noncommutative magnetic moment, fundamental length and lepton size
• Noncommutative Dirac quantization condition using the Seiberg-Witten map
• When electric charge becomes also magnetic
• Poisson electrodynamics on $\kappa$-Minkowski space-time
• Conserved symmetries in noncommutative quantum mechanics
• Discrete Spacetime Theories Can Explain the Muon Magnetic Moment Discrepancy