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Barnich, Glenn; Brandt, Friedemann; Grigoriev, Maxim

Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups. (English) Zbl 1226.81120

J. High Energy Phys. 2002, No. 8, 023, 13 p. (2002).
Summary: 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.

Cited in 5 Documents

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81T75 Noncommutative geometry methods in quantum field theory
81T70 Quantization in field theory; cohomological methods
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References:

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