Issue |
EPL
Volume 96, Number 3, November 2011
|
|
---|---|---|
Article Number | 31002 | |
Number of page(s) | 6 | |
Section | The Physics of Elementary Particles and Fields | |
DOI | https://doi.org/10.1209/0295-5075/96/31002 | |
Published online | 19 October 2011 |
A note on the infrared behavior of the compactified Ginzburg-Landau model in a magnetic field
1
Instituto de Física, Universidade do Estado do Rio de Janeiro - Rua São Francisco Xavier, 524, 20559-900 Rio de Janeiro, RJ, Brazil
2
Centro Brasileiro de Pesquisas Físicas, MCT - 22290-180, Rio de Janeiro, RJ, Brazil
Received:
8
July
2011
Accepted:
20
September
2011
We consider the Euclidean large-N Ginzburg-Landau model in D dimensions, d (d⩽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.
PACS: 11.10.Kk – Field theories in dimensions other than four / 11.30.Qc – Spontaneous and radiative symmetry breaking / 11.10.Wx – Finite-temperature field theory
© EPLA, 2011
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