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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2404.11622 |
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| _version_ | 1866910490044661760 |
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| author | Heras, Ricardo |
| author_facet | Heras, Ricardo |
| contents | 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 $θ$ and thereby connected with CP violation. We show that this phase becomes quantised in a vacuum state $δ_θ=nθ$ and that the most general vacuum state associated with this quantisation identifies with an Abelian form of the $θ$-vacua. We discuss two hypothetical interference effects in the vacuum where the angle $θ$ could manifest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11622 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dyons with phase $δ_θ=nθ$ Heras, Ricardo Quantum Physics High Energy Physics - Theory 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 $θ$ and thereby connected with CP violation. We show that this phase becomes quantised in a vacuum state $δ_θ=nθ$ and that the most general vacuum state associated with this quantisation identifies with an Abelian form of the $θ$-vacua. We discuss two hypothetical interference effects in the vacuum where the angle $θ$ could manifest. |
| title | Dyons with phase $δ_θ=nθ$ |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.11622 |