Phase structure of 3D Z(N) lattice gauge theories at finite temperature: large-N and continuum limits

Abstract

We study numerically three-dimensional Z(N) lattice gauge theories at finite temperature, for N = 5, 6, 8, 12, 13 and 20 on lattices with temporal extension $N_t$ = 2, 4, 8. For each model, we locate phase transition points and determine critical indices. We propose also the scaling of critical points with N. The data obtained enable us to verify the scaling near the continuum limit for the Z(N) models at finite temperatures.

arXiv comment17 pages, 2 figures, 9 tables

References in corpus (10)

• Critical behavior of the three-dimensional XY universality class
• String effects in the 3d gauge Ising model
• Deconfinement transition and dimensional cross-over in the 3D gauge Ising model
• The phase transitions in 2D Z(N) vector models for N>4
• Critical behavior of 3D Z(N) lattice gauge theories at zero temperature
• BKT phase transitions in strongly coupled 3D Z(N) LGT at finite temperature
• Phase transitions in strongly coupled 3d Z(N) lattice gauge theories at finite temperature
• Phase structure of 3D Z(N) lattice gauge theories at finite temperature
• Critical properties of 3D Z(N) lattice gauge theories at finite temperature
• Phase transitions in the three-dimensional Z(N) models

Cited by in corpus (2)

• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
• BKT phase transitions in two-dimensional non-Abelian spin models