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