A mild source for the Wu-Yang magnetic monopole
High Energy Physics - Theory
2019-04-02 v4 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1611.07041,
title = {A mild source for the Wu-Yang magnetic monopole},
author = {C. P. Constantinidis and L. A. Ferreira and G. Luchini},
journal= {arXiv preprint arXiv:1611.07041},
year = {2019}
}
Comments
24 pages, one figure, matches version published in Journal of Physics A 52 (2019) 155202