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

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

2008-06-12

arxiv.org/abs/0806.2081v2

J.Stat.Mech.0808:P08009,2008

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1088/1742-5468/2008/08/P08009

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.

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