Angular intricacies in hot gauge field theories

Abstract

It is argued that in hot gauge field theories, "Hard Thermal Loops" leading order calculations call for a definite sequence of angular averages and discontinuity (or Imaginary part prescription) operations, and run otherwise into incorrect results. The ten years old collinear singularity problem of hot $QCD$, provides a striking illustration of that fate.

Comments: 14 pages, 1 figure