Two different scaling regimes in Ginzburg-Landau model with Chern-Simons term
Hagen Kleinert, Flavio S. Nogueira
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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