  We give a new perspective on the properties of quarks and gluons at finite
temperature T in N_f = 2 ~ 6 QCD. We point out the existence of an IR fixed
point for the gauge coupling constant at T>T_c (T_c is the chiral phase
transition temperature). Based on this observation we predict theoretically and
verify numerically that the correlation functions of a meson G(t) at T/T_c > 1
decay with a power-law corrected Yukawa-type decaying form, G(t)=c exp(-m
t)/t^alpha in the "conformal region" defined by m < c Lambda_IR, where
Lambda_IR is the IR cutoff, m is the characteristic scale of the spectrum in
the meson cannel and c is a constant of order 1. The decaying form is the
characteristics of conformal theories with an IR cutoff. We discuss in detail
how the resulting hyper scaling relation of physical observables may modify the
existing argument about the order of the chiral phase transition in the N_f=2
case.
