Two different scaling regimes in Ginzburg-Landau model with Chern-Simons term

2001/09/30 by Hagen Kleinert, Flavio S. Nogueira
Physics and Astronomy · #cond-mat.supr-con #cond-mat.str-el #hep-th

paper · pdf

published as J.Phys.Stud. 5 (2001) 327 · RevTex4, 8 pages, 7 figures; reference added; to be published in the Journal of Physical Studies; author information and latest update to this paper at http://www.physik.fu-berlin.de/~kleinert/institution.html

arxiv created 2001/10/25 · arxiv updated 2009/11/30

Abstract

The Ginzburg-Landau model with a Chern-Simons term is shown to possess two different scaling regimes depending on whether the mass of the scalar field is zero or not. In contrast to pure ϕ⁴ theories, the Ginzburg-Landau model with a topologically generated mass exhibits quite different properties in perturbation theory. Our analysis suggests that the two scalings could coincide at a non-perturbative level. This view is supported by a 1/N-expansion in the massive scalar field regime.

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