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arXiv · 2603.01636

Covariant Cherenkov Radiation and its Friction Force

Will Price·Martin S. Formanek·Johann Rafelski
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Abstract

We derive the covariant generalization of the Frank-Tamm formula describing the Cherenkov radiation by a charged particle moving uniformly with a speed faster than the local speed of light within a homogeneous dielectric medium. We use our result to derive the covariant Cherenkov radiation reaction force and obtain a four-force explicitly orthogonal to particle four-velocity consistent with a relativistic friction force. We present the photon emission spectrum that is dependent primarily on the dielectric properties of the medium. We hint at a possible use of this work to interpret an excess of soft photons seen in relativistic hadron collisions.

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Will Price, Martin S. Formanek, Johann Rafelski. 2026-03-02. Covariant Cherenkov Radiation and its Friction Force. https://doi.org/10.1103/x81q-1b3v

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