Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2601.01661 |
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Sommario:
- In this work, we propose a novel partial electromagnetic duality and construct its consistent realization using an extended gauge group $\mathrm{U}(1)_{\mathrm{q}}^{}\otimes\mathrm{U}(1)_{\mathrm{d}}^{}$ over a localized space region, where $\mathrm{U}(1)_{\mathrm{q}}^{}$ is the conventional gauge group of QED and $\mathrm{U}(1)_{\mathrm{d}}^{}$ serves as its dual gauge group. In this framework, the "electric" charge associated with $\mathrm{U}(1)_{\mathrm{d}}^{}$ plays the role of the magnetic (monopole) charge in QED $\mathrm{U}(1)_{\mathrm{q}}^{}$, whereas the electric charge of $\mathrm{U}(1)_{\mathrm{q}}^{}$ is reinterpreted as the "magnetic" charge of $\mathrm{U}(1)_{\mathrm{d}}^{}$. Importantly, our theory preserves the exact Bianchi identity, as it provides a genuinely singularity-free and stringless formulation that involves only electric charges under each U(1) gauge group. We show that the two gauge sectors, $\mathrm{U}(1)_{\mathrm{q}}^{}$ and $\mathrm{U}(1)_{\mathrm{d}}^{}$, exhibit a partial duality within a localized region of space. Based on this consistent formulation, we present the first fully gauge-invariant computation of scattering amplitudes and cross sections for monopole production processes, including $\mathrm{e}^-\mathrm{e}^+\rightarrowχχ^*$ and $\mathrm{e}^-\mathrm{e}^+\rightarrowχ\barχ$.