Non-local material vacuum and Cherenkov radiation in non-linear massive $3$D-Electrodynamics
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909425284939776 |
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| author | Gaete, Patricio Helayël-Neto, J. A. |
| author_facet | Gaete, Patricio Helayël-Neto, J. A. |
| contents | We examine the effects of electromagnetic field non-linearities in $3$ space-time dimensions. We focus on how these non-linearities influence permittivity and susceptibility. This, in turn, leads to changes in the refractive index through the use of the dispersion relation in the context of massless and massive non-linear electrodynamics. We also verify that, by inspecting the model addressed in the frequency/wave vector space, we identify the characteristics of a non-local material in the behavior of the vacuum, which exhibits a spatially-dispersive profile. Furthermore, it is important to highlight that the cause of this phenomenon is the de Broglie-Proca mass term. We subsequently investigate the electromagnetic radiation emitted by a moving charged particle interacting with a medium for massless and massive non-linear electrodynamics. Our findings indicate that the radiation is driven by the medium through which the particle travels, similar to what is observed in the Cherenkov effect. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_08838 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-local material vacuum and Cherenkov radiation in non-linear massive $3$D-Electrodynamics Gaete, Patricio Helayël-Neto, J. A. High Energy Physics - Phenomenology We examine the effects of electromagnetic field non-linearities in $3$ space-time dimensions. We focus on how these non-linearities influence permittivity and susceptibility. This, in turn, leads to changes in the refractive index through the use of the dispersion relation in the context of massless and massive non-linear electrodynamics. We also verify that, by inspecting the model addressed in the frequency/wave vector space, we identify the characteristics of a non-local material in the behavior of the vacuum, which exhibits a spatially-dispersive profile. Furthermore, it is important to highlight that the cause of this phenomenon is the de Broglie-Proca mass term. We subsequently investigate the electromagnetic radiation emitted by a moving charged particle interacting with a medium for massless and massive non-linear electrodynamics. Our findings indicate that the radiation is driven by the medium through which the particle travels, similar to what is observed in the Cherenkov effect. |
| title | Non-local material vacuum and Cherenkov radiation in non-linear massive $3$D-Electrodynamics |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.08838 |