Singularities of the Seiberg-Witten map

Details Singularities of the Seiberg-Witten map Singularities of the Seiberg-Witten map

2000-12-04

arxiv.org/abs/hep-th/0012018v1

JHEP 0101:020,2001

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX

Scientific paper

10.1088/1126-6708/2001/01/020

We construct an explicit solution of the Seiberg-Witten map for a linear gauge field on the non-commutative plane. We observe that this solution as well as the solution for a constant curvature diverge when the non-commutativity parameter theta reaches certain event horizon in the theta-space. This implies that an ordinary Yang-Mills theory can be continuously deformed by the Seiberg-Witten map into a non-commutative theory only within one connected component of the theta-space.

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