Quantum Electrodynamics on Noncommutative Spacetime

Abstract

We propose a new method to quantize gauge theories formulated on a canonical noncommutative spacetime with fields and gauge transformations taken in the enveloping algebra. We show that the theory is renormalizable at one loop and compute the beta function and show that the spin dependent contribution to the anomalous magnetic moment of the fermion at one loop has the same value as in the commutative quantum electrodynamics case.

published version

References in corpus (16)

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• Noncommutative Field Theory
• Noncommutative Perturbative Dynamics
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• Bounding Noncommutative QCD
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Cited by in corpus (10)

• Gauge Theories under Incorporation of a Generalized Uncertainty Principle
• Electroweak Theory with a Minimal Length
• Spin Hall effect on a noncommutative space
• Minimal Scales from an Extended Hilbert Space
• Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism
• Möller and Bhabha scattering in the noncommutative standard model
• $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative standard model
• Neutral Higgs boson pair production at the LC in the Noncommutative Standard Model
• Canonical Noncommutativity Algebra for the Tetrad Field in General Relativity
• ${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{-}$ colliding in noncommutative space