Critical behavior of the compact 3d U(1) theory in the limit of zero spatial coupling

Abstract

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 extension ranging from L=64 to L=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.

17 pages, 5 figures; two references added, a few comments included, title changed; version to appear on J. Stat. Mech

References in corpus (5)

• The two dimensional XY model at the transition temperature: A high precision Monte Carlo study
• First-order transitions for n-vector models in two and more dimensions; rigorous proof
• A lattice study of 3D compact QED at finite temperature
• Photon propagator, monopoles and the thermal phase transition in 3D compact QED
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Cited by in corpus (8)

• Numerical study of the phase transitions in the two-dimensional Z(5) vector model
• The phase transitions in 2D Z(N) vector models for N>4
• Critical behavior of the compact 3d U(1) gauge theory on isotropic lattices
• Topological defects and confinement with machine learning: the case of monopoles in compact electrodynamics
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Phase transitions in strongly coupled 3d Z(N) lattice gauge theories at finite temperature
• Program package for multicanonical simulations of U(1) lattice gauge theory
• BKT phase transitions in two-dimensional non-Abelian spin models