In-medium QCD and Cherenkov gluons vs Mach waves at LHC

TL;DR

This paper develops equations for in-medium gluodynamics, showing how a moving color charge can produce Cherenkov gluons and shock waves, with implications for LHC experiments and comparisons to Mach wave phenomena.

Contribution

It introduces a new set of equations for in-medium gluodynamics and analyzes their solutions, highlighting Cherenkov gluon emission and shock wave effects at LHC energies.

Findings

Cherenkov gluons can be emitted in nuclear media with permittivity > 1

Shock wave solutions are derived for a moving color charge

Predictions are made for observable effects at LHC energies

Abstract

The 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.