A note on the infrared behavior of the compactified Ginzburg--Landau model in a magnetic field

Abstract

We consider the Euclidean large-$N$ Ginzburg--Landau model in $D$ dimensions, $d$ ($d\le D$) of them being compactified. For D=3, the system can be supposed to describe, in the cases of d=1, d=2, and d=3, respectively, a superconducting material in the form of a film, of an infinitely long wire having a rectangular cross-section and of a brick-shaped grain. We investigate the fixed-point structure of the model, in the presence of an external magnetic field. An infrared-stable fixed points is found, which is independent of the number of compactified dimensions. This generalizes previous work for type-II superconducting films

LATEX, 6 pages no figures. arXiv admin note: 80% of text overlaps with arXiv:1102.1396

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Cited by in corpus (3)

• Properties of size-dependent models having quasiperiodic boundary conditions
• Dimensional reduction of a finite-size scalar field model at finite temperature
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0