Regular Article - Theoretical Physics
The role of the Seiberg–Witten field redefinition in renormalization of noncommutative chiral electrodynamics
Faculty of Physics, University of Belgrade, P. O. Box 44, 11001, Belgrade, Serbia
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Revised: 5 August 2013
Published online: 28 August 2013
It has been conjectured in the literature that renormalizability of the θ-expanded noncommutative gauge theories improves when one takes into account full nonuniqueness of the Seiberg–Witten expansion which relates noncommutative (‘high-energy’) with commutative (‘low-energy’) fields. In order to check this conjecture we analyze renormalizability of the θ-expanded noncommutative chiral electrodynamics by quantizing the action which contains all terms implied by this nonuniqueness. After renormalization we arrive at a different theory, characterized by different relations between the coupling constants: this means that the θ-expanded noncommutative chiral electrodynamics is not renormalizable.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013