Perturbative Analysis of the Seiberg-Witten Map
A. A. Bichl, J. M. Grimstrup, L. Popp, M. Schweda, R. Wulkenhaar
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.
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