Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups

revised version: August 2002
Glenn Barnich, Friedemann Brandt, and Maxim Grigoriev
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Submission date: 01. Jun. 2002
Pages: 15
published in: Journal of high energy physics, 8 (2002), art-no. 023 
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Abstract:
Seiberg-Witten maps and a recently proposed construction of noncommutative Yang-Mills theories (with matter fields) for arbitrary gauge groups are reformulated so that their existence to all orders is manifest. The ambiguities of the construction which originate from the freedom in the Seiberg-Witten map are discussed with regard to the question whether they can lead to inequivalent models, i.e., models not related by field redefinitions.