  In this work we consider the one-loop effective action of a self-interacting
$\lambda\phi^{4}$ field propagating in a $D$ dimensional Euclidean space
endowed with $d\leq D$ compact dimensions. The main purpose of this paper is to
compute the corrections to the mass of the field due to the presence of the
compactified dimensions. Although results for the one-loop correction to the
mass of a $\lambda\phi^{4}$ field are very well known for compactified toroidal
spaces, where the field obeys periodic boundary conditions, similar results do
not appear to be readily available for cases in which the scalar field is
subject to Dirichlet and Neumann boundary conditions. We apply the results for
the one-loop mass correction to the study of the critical temperature in
Ginzburg-Landau models.
