Study of the critical properties of the Quantum Hall Fluid in the framework of a dual statistical model

By using Renormalization Group methods we analyze the description of the Quantum Hall Fluid in terms of a dual plasma with dyons as effective degrees of freedom. The physical interpretation of the parameters of the model as the longitudinal and Hall conductance togheter with their scaling properties allow for the determination of the critical index. The universality of the critical properties result as a consequence of the generalized duality symmetry of the model.