Nonabelian Gauge Theories on Noncommutative Spaces

Details Nonabelian Gauge Theories on Noncommutative Spaces Nonabelian Gauge Theories on Noncommutative Spaces

2001-07-26

arxiv.org/abs/hep-th/0107225v3

Int.J.Mod.Phys. A17S1 (2002) 205-217

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex, Talk presented at 2001: A Spacetime Odyssey - Michigan Center for Theoretical Physics, some typos corrected

Scientific paper

In this paper, we describe a method for obtaining the nonabelian Seiberg-Witten map for any gauge group and to any order in theta. The equations defining the Seiberg-Witten map are expressed using a coboundary operator, so that they can be solved by constructing a corresponding homotopy operator. The ambiguities, of both the gauge and covariant type, which arise in this map are manifest in our formalism.

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