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arXiv · 1805.09649

Dirac and non-Dirac conditions in the 2-potential theory of magnetic charge

John Scott·Douglas Singleton·Timothy J. Evans·Vladimir Dzhunushaliev·Vladimir Folomeev
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Abstract

We investigate the Cabbibo-Ferrari, two potential approach to magnetic charge coupled to two different complex scalar fields, $Φ_1$ and $Φ_2$, each having different electric and magnetic charges. The scalar field, $Φ_1$, is assumed to have a spontaneous symmetry breaking self interaction potential which gives a mass to the "magnetic" gauge potential and "magnetic" photon, while the other "electric" gauge potential and "electric" photon remain massless. The magnetic photon is hidden until one reaches energies of the order of the magnetic photon rest mass. The second scalar field, $Φ_2$, is required in order to make the theory non-trivial. With only one field one can always use a duality rotation to rotate away either the electric or magnetic charge, and thus decouple either the associated electric or magnetic photon. In analyzing this system of two scalar fields in the Cabbibo-Ferrari approach we perform several duality and gauge transformations, which require introducing non-Dirac conditions on the initial electric and magnetic charges. We also find that due to the symmetry breaking the usual Dirac condition is altered to include the mass of the magnetic photon. We discuss the implications of these various conditions on the charges.

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John Scott, Douglas Singleton, Timothy J. Evans, Vladimir Dzhunushaliev, Vladimir Folomeev. 2018-05-17. Dirac and non-Dirac conditions in the 2-potential theory of magnetic charge. https://doi.org/10.1140/epjc%2Fs10052-018-5867-0

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