Duality and self-duality in Ginzburg-Landau theory with Chern-Simons term
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We 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.html
RevTex4, 4 pages, no figures; author information and latest update to this paper at http://www.physik.fu-berlin.de/~kleinert/institution.html