Cherenkov radiation from a uniformly moving charge in a dielectric is formulated covariantly, yielding an orthogonal four-force that reduces to the Frank-Tamm energy-loss formula in the medium rest frame.
Lienard-Wiechert potentials for charged tachyons and several remarks on the tachyon Cherenkov radiation
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abstract
The Lienard-Wiechert potentials for charged tachyons are deduced in this note. They turn out to be twice as large as compared to the corresponding potentials for ordinary particles. Several remarks are made on tachyon Cherenkov radiation and its intensity. In particular, it follows in a straightforward way from the derivation of the Lienard-Wiechert potentials that the tachyon Cherenkov radiation angle obeys the same formula as that for ordinary particles.
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Covariant Cherenkov Radiation and its Friction Force
Cherenkov radiation from a uniformly moving charge in a dielectric is formulated covariantly, yielding an orthogonal four-force that reduces to the Frank-Tamm energy-loss formula in the medium rest frame.