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

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

2001-09-28

arxiv.org/abs/cond-mat/0109539v4

J.Phys.Stud. 5 (2001) 327

Physics

Condensed Matter

Superconductivity

RevTex4, 8 pages, 7 figures; reference added; to be published in the Journal of Physical Studies; author information and lates

Scientific paper

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 $\phi^4$ 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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