2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18431We derive the exact dual theory of a lattice Ginzburg-Landau theory with an additional topological Chern-Simons (CS) term. It is shown that in the zero-temperature limit, the statistical parameter $θ=1/2π$ corresponds to a fixed point of the duality transformation. Thus we have found a nontrivial example of self-duality in three dimensions. In this scenario, the specialization of anyonic to fermionic statistics my be viewed as a phase transition.RevTex4, 4 pages, no figures; author information and latest update to this paper at http://www.physik.fu-berlin.de/~kleinert/institution.htmlSuperconductivityHigh Energy Physics - Theorytext