Restoration of Symmetry by Interactions and Nonreliability of the   Perturbative Renormalization Group Approach
  We discuss examples of (1+1)-dimensional models where the perturbative renormalization group (RG) indicates a tendency to restore the symmetry in the strong coupling limit. We show that such restoration does occur sometimes, but the pertubative RG cannot be reliably used to detect it. 
P. Azaria, P. Lecheminant, and A. M. Tsvelik