Noncommutative monopoles and Riemann-Hilbert problems

被引：0
|
作者：
Lechtenfeld, O [1 ]
Popov, AD [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2004年 / 01期
关键词：
solitons monopoles and instantons; non-commutative geometry; integrable equations in physics;
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：
The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to noncommutative R-3 and use it to (re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in a unified manner. In all cases we write down the underlying matrix-valued functions for multi-monopoles and solve the corresponding Riemann-Hilbert problems for charge one.
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页数：45
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