Revisiting the Wu-Yang approach to magnetic charge
| Autor: | Gonuguntla, Siva Mythili, Singleton, Douglas |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $4 \pi g$ which then gives rise to an outward Coulomb magnetic flux of $4 \pi g$. 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. Comment: 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 |
| Databáze: | arXiv |
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