Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-12-22
PoS(Lattice 2010)188
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 1 figure, presented at the XXVIII International Symposium on Lattice Field Theory, Lattice 2010, June 14-19, 2010, Vi
Scientific paper
Critical properties of the compact three-dimensional U(1) lattice gauge theory are explored at finite temperatures. The critical point of the deconfinement phase transition, critical indices and the string tension are studied numerically on lattices with temporal extension N_t = 8 and spatial extension ranging from L = 32 to L = 256. The critical indices, which govern the behaviour across the deconfinement phase transition, are generally expected to coincide with the critical indices of the two-dimensional XY model. It is found that the determination of the infinite volume critical point differs from the pseudo-critical coupling at L = 32, found earlier in the literature and implicitly assumed as the onset value of the deconfined phase. The critical index $\nu$ computed from the scaling of the pseudocritical couplings agrees well with the value $\nu$ = 1/2 of the XY model. The computation of the index $\eta$ brings to a value larger than expected. The possible reasons for such behaviour are discussed.
Borisenko Oleg
Fiore Roberto
Gravina Mario
Papa Alessandro
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