Critical behavior of the compactified ginzburg–landau model

Abstract

n a field theoretical framework, we study the N-component Ginzburg–Landau model compactified in one of the spatial dimensions. Taking the large-N limit, including one-loop corrections to the coupling constant, we calculate the transition temperature (Tc) for a system bounded between two parallel planes as a function of the separation distance (L) between then. We show that Tc(L) decreases as the separation is diminished in a slightly nonlinear way. The minimal separation for the suppression of the second-order transition is lower than the one obtained without considering coupling-constant corrections.