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Bichl, A. A.; Grimstrup, J. M.; Popp, L.; Schweda, M.; Wulkenhaar, R.

Perturbative analysis of the Seiberg-Witten map. (English) Zbl 1058.81056

Int. J. Mod. Phys. A 17, No. 16, 2219-2231 (2002).
Summary: We investigate the quantization of the \(\theta\)-expanded noncommutative U(1) Yang-Mills action, obtained via the Seiberg-Witten map. The one-loop self-energy correction is gauge-independent. In a further paper, [J. High Energy Phys. 2001, No. 6, Paper 13 (2001) see also hep-th/0104097, we have shown that the loop correction may be renormalized via an unphysical field redefinition.

Cited in 12 Documents

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E30 String and superstring theories in gravitational theory
81T75 Noncommutative geometry methods in quantum field theory

Keywords:

Noncommutative geometry; renormalization; Seiberg-Witten map
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References:

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