Singularities of the Seiberg-Witten map
High Energy Physics - Theory
2010-02-03 v1
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.
Cite
@article{arxiv.hep-th/0012018,
title = {Singularities of the Seiberg-Witten map},
author = {Andrei G. Bytsko},
journal= {arXiv preprint arXiv:hep-th/0012018},
year = {2010}
}
Comments
8 pages, LaTeX