Neumann boundary conditions inhibiting the SSB in the Coleman-Weinberg   mechanism
  In this work we show that homogeneous Neumann boundary conditions inhibit the Coleman-Weinberg mechanism for spontaneous symmetry breaking in the scalar electrodynamics if the length of the finite region is small enough ($a = e^{2}M^{-1}_{\phi}$, where $M_{\phi}$ is the mass of the scalar field generated by the Coleman-Weinberg mechanism) 
F. N. Fagundes, R. O. Francisco, B. B. Dilem and J. A. Nogueira
hep-th