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arXiv · 1009.4603

Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion

M. Buric·D. Latas·V. Radovanovic·J. Trampetic
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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.

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M. Buric, D. Latas, V. Radovanovic, J. Trampetic. 2010-09-23. Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion. https://doi.org/10.1103/physrevd.83.045023

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