2008/06/30 by Oleg Borisenko, O Borisenko, Mario Gravina +3 · 1 citation
Physics and Astronomy · #Coupling constant #Critical phenomena #Gauge theory #Hamiltonian lattice gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Renormalization group #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.1088/1742-5468/2008/08/p08009
published as J.Stat.Mech.0808:P08009,2008 · 17 pages, 5 figures; two references added, a few comments included, title changed; version to appear on J. Stat. Mech
arxiv created 2008/08/08 · openalex publication_date 2008/08/22 · arxiv updated 2011/02/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Critical properties of the compact three-dimensional U (1) lattice gauge theory are explored at finite temperatures on an asymmetric lattice. For vanishing value of the spatial gauge coupling one obtains an effective two-dimensional spin model which describes the interaction between Polyakov loops. We study numerically the effective spin model for N t = 1,4,8 on lattices with spatial extent ranging from L = 64 to 256. Our results indicate that the finite temperature U (1) lattice gauge theory belongs to the universality class of the two-dimensional XY model, thus supporting the Svetitsky–Yaffe conjecture.