  Using functional RG, we reexamine the glass phase of the 2D random-field Sine
Gordon model. It is described by a line of fixed points (FP) with a
super-roughening amplitude $\bar{(u(0)-u(r))^2} \sim A(T) \ln^2 r $ as
temperature $T$ is varied. A speculation is that this line is identical to the
one found in disordered free-fermion models via exact results from ``nearly
conformal'' field theory. This however predicts $A(T=0)=0$, contradicting
numerics. We point out that this result may be related to failure of
dimensional reduction, and that a functional RG method incorporating higher
harmonics and non-analytic operators predicts a non-zero $A(T=0)$ which
compares reasonably with numerics.
