Singularities of the Seiberg-Witten map

被引:0
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作者
Bytsko, AG [1 ]
机构
[1] VA Steklov Math Inst, St Petersburg 191011, Russia
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关键词
D-branes; gauge symmetry; non-commutative geometry;
D O I
暂无
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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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页数:12
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