Phase structure of 3D Z(N) lattice gauge theories at finite temperature

Abstract

We perform a numerical study of the phase transitions in three-dimensional Z(N) lattice gauge theories at finite temperature for N>4. Using the dual formulation of the models and a cluster algorithm we locate the position of the critical points and study the critical behavior across both phase transitions in details. In particular, we determine various critical indices, compute the average action and the specific heat. Our results are consistent with the two transitions being of infinite order. Furthermore, they belong to the universality class of two-dimensional Z(N) vector spin models.

23 pages, 7 figures, 5 tables. arXiv admin note: substantial text overlap with arXiv:1206.5607

References in corpus (7)

• Numerical study of the phase transitions in the two-dimensional Z(5) vector model
• The deconfining phase transition in D=2+1 SU(N) gauge theories
• The phase transitions in 2D Z(N) vector models for N>4
• 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
• Critical properties of the 2D Z(5) vector model
• Critical properties of 2D Z(N) vector models for N>4

Cited by in corpus (4)

• Critical behavior of 3D Z(N) lattice gauge theories at zero temperature
• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
• Phase structure of 3D Z(N) lattice gauge theories at finite temperature: large-N and continuum limits
• BKT phase transitions in two-dimensional non-Abelian spin models