Properties of Color-Coulomb String Tension

TL;DR

This paper investigates the properties of the color-Coulomb string tension in QCD using lattice simulations, revealing its behavior across confinement and deconfinement phases and its independence from the phase transition.

Contribution

It provides new insights into the temperature dependence of the color-Coulomb string tension and its relation to QCD phases, challenging its role as an order parameter.

Findings

Color-Coulomb string tension varies less with coupling than Wilson loop tension in confinement.

It remains non-zero at high temperatures, indicating it is not an order parameter for QGP transition.

The temperature dependence aligns with magnetic scaling in high-temperature QCD.

Abstract

We study the properties of the color-Coulomb string tension obtained from the instantaneous part of gluon propagators in Coulomb gauge using quenched SU(3) lattice simulation. In the confinement phase, the dependence of the color-Coulomb string tension on the QCD coupling constant is smaller than that of the Wilson loop string tension. On the other hand, in the deconfinement phase, the color-Coulomb string tension does not vanish even for $T/T_c = 1 \sim 5$, the temperature dependence of which is comparable with the magnetic scaling, dominating the high temperature QCD. Thus, the color-Coulomb string tension is not an order parameter of QGP phase transition.