Finite-size scaling of wrapping probabilities gives Tc(XY)=2.2018441(5), Tc(Villain)=0.33306704(7), (t/U)c=0.0597291(8), nu=0.67183(18), and eta=0.03853(48) for the 3D U(1) universality class.
Quantum criticality beyond the landau- ginzburg-wilson paradigm,
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High-precision Monte Carlo study of several models in the three-dimensional U(1) universality class
Finite-size scaling of wrapping probabilities gives Tc(XY)=2.2018441(5), Tc(Villain)=0.33306704(7), (t/U)c=0.0597291(8), nu=0.67183(18), and eta=0.03853(48) for the 3D U(1) universality class.