title: Phase transitions in two-dimensional Z(N) vector models for N>4.
abstract: We investigate both analytically and numerically the renormalization group equations in two-dimensional (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 ν is computed. For N=7 and 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, and 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.
authors.affiliation: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 03680 Kiev, Ukraine. oleg@bitp.kiev.ua
authors.forename: O
authors.initials: O
authors.lastname: Borisenko
authors.forename: V
authors.initials: V
authors.lastname: Chelnokov
authors.forename: G
authors.initials: G
authors.lastname: Cortese
authors.forename: R
authors.initials: R
authors.lastname: Fiore
authors.forename: M
authors.initials: M
authors.lastname: Gravina
authors.forename: A
authors.initials: A
authors.lastname: Papa
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D008958:Models, Molecular; D015233:Models, Statistical; D009010:Monte Carlo Method; D044367:Phase Transition