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arXiv · 1611.07041

A mild source for the Wu-Yang magnetic monopole

C. P. Constantinidis·L. A. Ferreira·G. Luchini
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Abstract

We establish that the Wu-Yang monopole needs the introduction of a magnetic point source at the origin in order for it to be a solution of the differential and integral equations for the Yang-Mills theory. That result is corroborated by the analysis through distribution theory, of the two types of magnetic fields relevant for the local and global properties of the Wu-Yang solution. The subtlety lies on the fact that with the non-vanishing magnetic point source required by the Yang-Mills integral equations, the Wu-Yang monopole configuration does not violate, in the sense of distribution theory, the differential Bianchi identity.

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C. P. Constantinidis, L. A. Ferreira, G. Luchini. 2016-11-21. A mild source for the Wu-Yang magnetic monopole. https://doi.org/10.1088/1751-8121/ab0049

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