Wess-Zumino-Witten (WZW) (compact and non-compact) coset Lagrangians arise as effective Lagrangians of Euclidean non-Abelian gauge fields coupled to (right- and left-handed) massless fermions in two dimensions. We choose coordinates on the non-compact coset in such a way that the WZW model becomes soluble through the functional integration. We interprete the model as a massless QCD (without the F2 gluon self-interaction). We discuss the fermionic Green's functions in this model. We show that the Fermi fields in (QCD) 2 become scale-invarient in the infinite coupling limit with a non-canonical scaling dimension.