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[en] 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 θ-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. (author)
Journal
Journal of High Energy Physics; ISSN 1126-6708; 
; v. 01(2001); p. vp
; v. 01(2001); p. vp