Revisiting the Wu-Yang approach to magnetic charge
Abstract
The Wu-Yang fiber bundle approach to magnetic charge is extended with a disk-like sheet current density and associated magnetic field in the overlap region between the Northern hemisphere and Southern hemisphere, where the different vector potentials connect. This disk magnetic field plays a role similar to the Dirac string in the Dirac approach to magnetic charge - it brings an inward magnetic flux of which then gives rise to an outward Coulomb magnetic flux of . As with the Dirac string approach we show that placing an electric charge near this disk magnetic field gives rise to a non-zero electromagnetic field momentum. We discuss some of the possible physical consequences of this electromagnetic field momentum. We conclude by showing that the non-singular, but non-single valued Banderet monopole potential also has a disk-like magnetic flux and non-zero electromagnetic field momentum in the presence of an electric charge.
Keywords
Cite
@article{arxiv.2308.14706,
title = {Revisiting the Wu-Yang approach to magnetic charge},
author = {Siva Mythili Gonuguntla and Douglas Singleton},
journal= {arXiv preprint arXiv:2308.14706},
year = {2024}
}
Comments
16 pages, 3 figures EPS figures, revtex-4. Changes in text to take into account referee comments/suggestions. To be published in Annals of Physics