Patching up the monopole potential

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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. © 2004 Published by Elsevier B.V.




Chatterjee, A., & Mitra, P. (2004). Patching up the monopole potential. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 588(3–4), 217–220.

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