Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion

Abstract

We analyze quantization of noncommutative chiral electrodynamics in the enveloping algebra formalism in linear order in noncommutativity parameter $\theta$. Calculations show that divergences exist and cannot be removed by ordinary renormalization, however they can be removed by the Seiberg-Witten redefinition of fields. Performing the redefinitions explicitly, we obtain renormalizable lagrangian and discuss the influence of noncommutativity on field propagation. Noncommutativity affects the propagation of chiral fermions only: half of the fermionic modes become massive and birefringent.

16 pages, Version published in Phys. Rev. D

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Cited by in corpus (19)

• Fermions with Lorentz-violating operators of arbitrary dimension
• Lorentz and CPT tests with hydrogen, antihydrogen, and related systems
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
• Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory
• Photon-neutrino interaction in theta-exact covariant noncommutative field theory
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• Higgsstrahlung and pair production in $e^{+}{e}^{-}$ collision in the noncommutative standard model
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• Seiberg-Witten map Invariant Scatterings
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