Zero Color Magnetization in QCD Matter

TL;DR

This paper demonstrates that spatial gluon correlation functions vanish at finite temperature in certain gauges due to the Gribov horizon, impacting understanding of magnetic mass and color superconductivity in QCD.

Contribution

It reveals that all spatial gluon connected correlation functions vanish at finite temperature and zero momentum in specific gauges, due to the Gribov horizon, with implications for QCD phases.

Findings

Spatial gluon correlation functions vanish at finite temperature.

Results apply to SU(N) and SO(N) QCD, including two-color cases.

Implications for magnetic mass and color superconductivity.

Abstract

We show that all spatial gluon connected correlation functions in SU(N) or SO(N) QCD vanish at finite temperature and zero momentum in lattice Landau or Coulomb gauges, due to the proximity of the Gribov horizon. These observations also apply to QCD with two colors and an even number of flavors at large chemical potential. These nonperturbative results may have consequences on the nature of the thermal magnetic mass and the character of the magnetic color superconductivity.