The role of the Seiberg-Witten field redefinition in renormalization of noncommutative chiral electrodynamics

Abstract

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. © 2013 Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica.