Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion

Understand

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.