Critical behavior of the compact 3 d U ( 1 ) theory in the limit of zero spatial coupling
نویسنده
چکیده
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 Nt = 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. e-mail addresses: [email protected], gravina,[email protected] 1
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