The Soft Quark Dispersion Relations at Next-to-Leading Order in Hot QCD

Abstract

We give a compact analytic expression for the fully-dressed next-to-leading order contribution to the retarded quark self-energy in the context of hard-thermal-loop summed perturbation of massless QCD at high temperature. We also give the analytic expressions of the hard thermal loop vertex functions. The calculation is done using the real-time formalism.