Nonperturbative Debye Mass in Finite Temperature QCD

Abstract

Employing a nonperturbative gauge invariant definition of the Debye screening mass ${m}_{D}$ in the effective field theory approach to finite temperature QCD, we use 3D lattice simulations to determine the leading $O({g}^{2})$ and to estimate the next-to-leading $O({g}^{3})$ corrections to ${m}_{D}$ in the high temperature region. The $O({g}^{2})$ correction is large and modifies qualitatively the standard power-counting hierarchy picture of correlation lengths in high temperature QCD.