Noncommutative magnetic moment, fundamental length and lepton size

Abstract

Upper bounds on fundamental length are discussed that follow from the fact that a magnetic moment is inherent in a charged particle in noncommutative (NC) electrodynamics. The strongest result thus obtained for the fundamental lenth is still larger than the estimate of electron or muon size achieved following the Brodsky-Drell and Dehlmet approach to lepton compositeness. This means that NC electrodynamics cannot alone explain the whole existing descrepancy between the theoretical and experimental values of the muon magnetic moment. On the contrary, as measurements and calculations are further improved, the fundamental length estimate based on electron data may go down to match its compositeness radius.

References in corpus (6)

• The quantum structure of spacetime at the Planck scale and quantum fields
• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• New determination of the fine structure constant and test of the quantum electrodynamics
• Noncommutative Point Sources
• Classical Noncommutative Electrodynamics with External Source
• Noncommutative magnetic moment of charged particles

Cited by in corpus (7)

• Muon anomalous magnetic moment in the standard model extension
• QED with external field: Hamiltonian treatment for anisotropic medium formed by the Lorentz-non-invariant vacuum
• Nonlinear magnetic response of the magnetized vacuum to applied electric field
• Magnetic response to applied electrostatic field in external magnetic field
• Nonlinear corrections in basic problems of electro- and magneto-statics in the vacuum
• Photon propagation in noncommutative QED with constant external field
• When electric charge becomes also magnetic