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 (1)

• Spacetime noncommutativity and ultra-high energy cosmic ray experiments