Dyons with phase $δ_θ=nθ$

• URL: http://arxiv.org/abs/2404.11622v2
• Date: Mon, 17 Jun 2024 15:17:29 GMT
• Title: Dyons with phase $δ_θ=nθ$
• Authors: Ricardo Heras,
• Abstract summary: We show that when a dyon encircles an infinitely long solenoid enclosing electric and magnetic flux, its wave function accumulates a quantum phase invariant under electromagnetic duality transformations. This phase, in conjunction with the Witten effect, gives rise to a topological phase proportional to the vacuum angle $theta$. We show that this phase becomes quantised in a vacuum state $delta_theta=ntheta$ and that the most general vacuum state associated with this quantisation identifies with an Abelian form of the $theta$-vacua.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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