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We study analytically and numerically the three-dimensional U(1) latticegauge theory at finite temperature in the dual formulation. For an appropriatedisorder operator, we obtain the renormalization group equations describing thecritical behavior of the model in the vicinity of the deconfinement phasetransition. These equations are used to check the validity of theSvetitsky-Yaffe conjecture regarding the critical behavior of the lattice U(1)model. Furthermore, we perform numerical simulations of the model for $N_t = 1,2, 4, 8$ and compute, by a cluster algorithm, the dual correlation functionsand the corresponding second moment correlation length. In this way we locatethe position of the critical point and calculate critical indices.

Deconfinement and universality in the 3D U(1) lattice gauge theory at finite temperature: study in the dual formulation