Anomalous scaling dimensions and stable charged fixed point of type-II superconductors

The critical properties of a type-II superconductor model are investigated using a dual vortex representation. Computing the propagators of gauge field A and dual gauge field h in terms of a vortex correlation function, we obtain the values eta(A) = 1 and, eta(h) = 1 for their anomalous dimensions. This provides support for a dual description of the Ginzburg-Landau theory of type-II superconductors in the continuum limit, as well as for the existence of a stable charged fixed paint of the theory, not in the 3D XY universality class.