A large N phase transition in the continuum two dimensional SU(N) X   SU(N) principal chiral model
  It is established by numerical means that the continuum large N principal chiral model in two dimensions has a phase transition in a smoothed two point function at a critical distance of the order of the correlation length. 
R. Narayanan (FIU), H. Neuberger (Rutgers), E. Vicari (Pisa)