Duality and self-duality in Ginzburg-Landau theory with Chern-Simons term

Details Duality and self-duality in Ginzburg-Landau theory with Chern-Simons term Duality and self-duality in Ginzburg-Landau theory with Chern-Simons term

2001-10-24

arxiv.org/abs/cond-mat/0110513v2

Physics

Condensed Matter

Superconductivity

RevTex4, 4 pages, no figures; author information and latest update to this paper at http://www.physik.fu-berlin.de/~kleinert/i

Scientific paper

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 $\theta=1/2\pi$ 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.

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