Patching up the monopole potential

Details Patching up the monopole potential Patching up the monopole potential

2003-12-23

arxiv.org/abs/hep-th/0312272v1

Phys.Lett. B588 (2004) 217-220

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1016/j.physletb.2004.03.041

It is well known that a vector potential cannot be defined over the whole surface of a sphere around a magnetic monopole. A recent claim to the contrary is shown to have problems. It is explained however that a potential of the proposed type works if two patches are used instead of one. A general derivation of the Dirac quantization condition attempted with a single patch is corrected by introducing two patches. Further, the case of more than two patches using the original Wu-Yang type of potential is discussed in brief.

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