Critical behavior and continuum scaling of $3D$ $Z(N)$ lattice gauge theories

Abstract

Three-dimensional $Z(N)$ lattice gauge theories are studied numerically at finite temperature for $N$ = 5, 6, 8, 12, 13, 20 and for $N_t$=2,4,8. For each model the location of phase transitions and its critical indices are determined. The scaling of critical points with $N$ is proposed. The data obtained enable us to verify the scaling near the continuum limit for the $Z(N)$ models at finite temperatures.

7 pages, 1 figure, 3 tables; presented at the 32nd International Symposium on Lattice Field Theory, 23-28 June, 2014, Columbia University, NY