The phase transitions in 2D Z(N) vector models for N>4
High Energy Physics - Lattice
2013-05-30 v2 Statistical Mechanics
Abstract
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.
Keywords
Cite
@article{arxiv.1112.3604,
title = {The phase transitions in 2D Z(N) vector models for N>4},
author = {O. Borisenko and V. Chelnokov and G. Cortese and R. Fiore and M. Gravina and A. Papa},
journal= {arXiv preprint arXiv:1112.3604},
year = {2013}
}
Comments
19 pages, 8 figures, 10 tables; version to appear on Phys. Rev. E