Cherenkov radiation in isotropic chiral matter: unlocking threshold-free emission

Fuente: arXiv
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Main Authors: von Dossow, Ricardo Martínez, Barredo-Alamilla, Eduardo, Gorlach, Maxim A., Urrutia, Luis Fernando
Format: Preprint
Published: 2025
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author von Dossow, Ricardo Martínez
Barredo-Alamilla, Eduardo
Gorlach, Maxim A.
Urrutia, Luis Fernando
author_facet von Dossow, Ricardo Martínez
Barredo-Alamilla, Eduardo
Gorlach, Maxim A.
Urrutia, Luis Fernando
contents We investigate Cherenkov radiation in isotropic chiral matter using Carroll-Field-Jackiw electrodynamics, with an axion angle linear in time, to describe a charge moving at constant velocity. By solving the modified Maxwell's equations in cylindrical coordinates and in the space-frequency domain, we derive closed expressions for the circularly polarized electromagnetic fields contributing independently to the radiation. The dispersion relations are obtained by imposing causality at a cylindrical surface at infinity, ensuring outgoing waves. Contrary to initial suppositions, each spectral energy distribution is gauge-invariant and positive, describing radiation at a characteristic angle. We characterize the angles and identify frequency ranges that allow for zero, one, or two Cherenkov cones. Notably, one sector of the model enables threshold-free Cherenkov radiation from slowly moving charges. Our results agree with partial findings in the nonrelativistic limit of earlier iterative analysis and clarify the regimes in which Cherenkov radiation arises in isotropic chiral matter.
format Preprint
id arxiv_https___arxiv_org_abs_2512_14676
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cherenkov radiation in isotropic chiral matter: unlocking threshold-free emission
von Dossow, Ricardo Martínez
Barredo-Alamilla, Eduardo
Gorlach, Maxim A.
Urrutia, Luis Fernando
High Energy Physics - Phenomenology
High Energy Physics - Theory
We investigate Cherenkov radiation in isotropic chiral matter using Carroll-Field-Jackiw electrodynamics, with an axion angle linear in time, to describe a charge moving at constant velocity. By solving the modified Maxwell's equations in cylindrical coordinates and in the space-frequency domain, we derive closed expressions for the circularly polarized electromagnetic fields contributing independently to the radiation. The dispersion relations are obtained by imposing causality at a cylindrical surface at infinity, ensuring outgoing waves. Contrary to initial suppositions, each spectral energy distribution is gauge-invariant and positive, describing radiation at a characteristic angle. We characterize the angles and identify frequency ranges that allow for zero, one, or two Cherenkov cones. Notably, one sector of the model enables threshold-free Cherenkov radiation from slowly moving charges. Our results agree with partial findings in the nonrelativistic limit of earlier iterative analysis and clarify the regimes in which Cherenkov radiation arises in isotropic chiral matter.
title Cherenkov radiation in isotropic chiral matter: unlocking threshold-free emission
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2512.14676