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Patching up the monopole potential

High Energy Physics - Theory 2010-04-05 v1

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.

Cite

@article{arxiv.hep-th/0312272,
  title  = {Patching up the monopole potential},
  author = {Ashok Chatterjee and P. Mitra},
  journal= {arXiv preprint arXiv:hep-th/0312272},
  year   = {2010}
}

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6 pages