1112.3604 (O. Borisenko et al.)

The phase transitions in 2D Z(N) vector models for N>4    [PDF]

O. Borisenko, V. Chelnokov, G. Cortese, R. Fiore, M. Gravina, A. Papa

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.

View original: http://arxiv.org/abs/1112.3604