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arXiv · 2507.06369

Cherenkov radiation in isotropic chiral matter: the space-frequency domain

R. Martínez von Dossow·Eduardo Barredo-Alamilla·Maxim A. Gorlach·Luis F. Urrutia
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Abstract

The electromagnetic response of isotropic chiral matter, as described by Carroll-Field-Jackiw electrodynamics, arises in distinct physical contexts ranging from condensed matter systems to Lorentz-violating extensions of high-energy physics. Here, we derive exact expressions for the circularly polarized electromagnetic fields that contribute independently to Cherenkov radiation in isotropic chiral matter. Each spectral energy distribution is gauge-invariant and positive, yielding radiation that emerges at a characteristic angle, akin to the standard case. Furthermore, we identify specific frequency ranges that permit zero, one, or two Cherenkov cones for a given setup. Remarkably, one sector of the model allows for the existence of threshold-free Cherenkov radiation arising from slowly-moving charges.

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R. Martínez von Dossow, Eduardo Barredo-Alamilla, Maxim A. Gorlach, Luis F. Urrutia. 2025-07-08. Cherenkov radiation in isotropic chiral matter: the space-frequency domain. https://arxiv.org/abs/2507.06369

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