2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/205549The equations of in-medium gluodynamics are proposed. Their classical lowest order solution is explicitly shown for a color charge moving with constant speed. For nuclear permittivity larger than 1 it describes emission of Cherenkov gluons resembling results of classical electrodynamics. The choice of nuclear permittivity and Lorentz-invariance of the problem are discussed. Effects induced by the transversely and longitudinally moving (relative to the collision axis) partons at LHC energies are described.13 p., misprints correctedHigh Energy Physics - PhenomenologyNuclear TheoryIn-medium QCD and Cherenkov gluonstext