2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165290The 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 the shock wave induced by emission of Cherenkov gluons. Specific effects at LHC energies are described and compared with Mach wave predictions.6 p., no figures. Talk at the HERA-LHC workshop, 28 May 2008, CERNHigh Energy Physics - PhenomenologyNuclear TheoryIn-medium QCD and Cherenkov gluons vs Mach waves at LHCtext