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Singularities of the Seiberg-Witten map | | Andrei G. Bytsko
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4 Dec 2000 | | Journal: | JHEP 0101 (2001) 020 | | Subject: | hep-th | | Abstract: | 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. | | Source: | arXiv, hep-th/0012018 | | Services: | Forum | Review | PDF | Favorites | |
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