The phase transitions in 2D Z(N) vector models for N>4
  We investigate both analytically and numerically the renormalization group equations in 2D Z(N) vector models. The position of the critical points of the two phase transitions for N>4 is established and the critical index \nu\ is computed. For N=7, 17 the critical points are located by Monte Carlo simulations and some of the corresponding critical indices are determined. The behavior of the helicity modulus is studied for N=5, 7, 17. Using these and other available Monte Carlo data we discuss the scaling of the critical points with N and some other open theoretical problems. 
O. Borisenko, V. Chelnokov, G. Cortese, R. Fiore, M. Gravina, A. Papa
hep-lat cond-mat.stat-mech