On Explicit Point Multi-Monopoles in SU(2) Gauge Theory

Details On Explicit Point Multi-Monopoles in SU(2) Gauge Theory On Explicit Point Multi-Monopoles in SU(2) Gauge Theory

2004-12-06

arxiv.org/abs/hep-th/0412042v1

J.Math.Phys. 46 (2005) 073506

Physics

High Energy Physics

High Energy Physics - Theory

1+7 pages, LaTeX

Scientific paper

10.1063/1.1939987

It is well known that the Dirac monopole solution with the U(1) gauge group embedded into the group SU(2) is equivalent to the SU(2) Wu-Yang point monopole solution having no Dirac string singularity. We consider a multi-center configuration of m Dirac monopoles and n anti-monopoles and its embedding into SU(2) gauge theory. Using geometric methods, we construct an explicit solution of the SU(2) Yang-Mills equations which generalizes the Wu-Yang solution to the case of m monopoles and n anti-monopoles located at arbitrary points in R^3.

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