  Full quantum calculation of Cherenkov gluon radiation by quark and gluon
currents and a Cherenkov decay of a gluon into a pair of Cherenkov gluons in
transparent media is performed. Energy losses due to Cherenkov gluon radiation
in high energy nuclear collisions are calculated. The angular distribution of
the energy flow due to the radiation of Cherenkov gluons is analyzed.
