Gravitational and electromagnetic Cherenkov radiation constraints in modified dispersion relations
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916570982252544 |
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| author | Artola, Mikel Cembranos, José A. R. Martín-Moruno, Prado |
| author_facet | Artola, Mikel Cembranos, José A. R. Martín-Moruno, Prado |
| contents | Motivated by different approaches to quantum gravity, one could consider that Lorentz invariance is not an exact symmetry of nature at all energy scales. Following this spirit, modified dispersion relations have been used to encapsulate quantum gravity phenomenology. In the present work, we propose a class of Lorentz invariance violating phenomenological dispersion relations, which could be different for each particle species, to study the generalized vacuum Cherenkov radiation process. We identify the kinematic regions where the process is allowed and then compute the energy loss rate due to the emission of vacuum electromagnetic and gravitational Cherenkov radiation. Furthermore, we estimate constraints for the Lorentz invariance breaking parameters of protons and gravitons taking into account the existence (or absence) of vacuum gravitational Cherenkov radiation using ultra high energy cosmic ray detections. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_18544 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gravitational and electromagnetic Cherenkov radiation constraints in modified dispersion relations Artola, Mikel Cembranos, José A. R. Martín-Moruno, Prado General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena High Energy Physics - Phenomenology Motivated by different approaches to quantum gravity, one could consider that Lorentz invariance is not an exact symmetry of nature at all energy scales. Following this spirit, modified dispersion relations have been used to encapsulate quantum gravity phenomenology. In the present work, we propose a class of Lorentz invariance violating phenomenological dispersion relations, which could be different for each particle species, to study the generalized vacuum Cherenkov radiation process. We identify the kinematic regions where the process is allowed and then compute the energy loss rate due to the emission of vacuum electromagnetic and gravitational Cherenkov radiation. Furthermore, we estimate constraints for the Lorentz invariance breaking parameters of protons and gravitons taking into account the existence (or absence) of vacuum gravitational Cherenkov radiation using ultra high energy cosmic ray detections. |
| title | Gravitational and electromagnetic Cherenkov radiation constraints in modified dispersion relations |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.18544 |