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arXiv · 2404.11622

Dyons with phase $\delta_{\theta}=n\theta$

Ricardo Heras
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Abstract

In a recent paper (Heras in Eur. Phys. J. Plus 138: 329, 2023), we have demonstrated that when a dyon encircles an infinitely long solenoid enclosing electric and magnetic fluxes, its wave function accumulates a quantum phase invariant under electromagnetic duality transformations. In this paper, we show that this phase, in conjunction with the Witten effect, gives rise to a topological phase proportional to the vacuum angle $\theta$ and thereby connected with CP violation. We show that this phase becomes quantised in a vacuum state $\delta_{\theta}=n\theta$ and that the most general vacuum state associated with this quantisation identifies with an Abelian form of the $\theta$-vacua. We discuss two hypothetical interference effects in the vacuum where the angle $\theta$ could manifest.

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Ricardo Heras. 2024-04-08. Dyons with phase $\delta_{\theta}=n\theta$. https://doi.org/10.1140/epjp%2Fs13360-023-04629-3

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