paper

Perturbative Analysis of the Seiberg-Witten Map

arXiv:hep-th/0102044 · doi:10.1142/S0217751X02010649

Abstract

We investigate the quantization of the theta-expanded noncommutative U(1) Yang-Mills action, obtained via the Seiberg-Witten map. As expected we find non-renormalizable terms. The one-loop propagator corrections are gauge independent, and lead us to a unique extention of the noncommutative classical action. We interpret our results as a requirement that also the trace in noncommutative field theory should be deformed.

13 pages, 4 figures

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