Patching up the monopole potential

Ashok Chatterjee; P. Mitra

doi:10.1016/j.physletb.2004.03.041

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arXiv · hep-th/0312272

Patching up the monopole potential

Ashok Chatterjee·P. Mitra

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Abstract

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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Ashok Chatterjee, P. Mitra. 2003-12-23. Patching up the monopole potential. https://doi.org/10.1016/j.physletb.2004.03.041

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