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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2601.01661 |
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| _version_ | 1866908754554912768 |
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| author | Hang, Yanfeng |
| author_facet | Hang, Yanfeng |
| contents | 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 $\mathrm{e}^-\mathrm{e}^+\rightarrowχ\barχ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01661 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Notes on Magnetic Monopoles from Partial Electromagnetic Duality Hang, Yanfeng High Energy Physics - Phenomenology 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 $\mathrm{e}^-\mathrm{e}^+\rightarrowχ\barχ$. |
| title | Notes on Magnetic Monopoles from Partial Electromagnetic Duality |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2601.01661 |