  In this paper we study the properties of the phase diagram of a simple extra
dimensional model on the lattice at finite temperature. We consider the
five-dimensional pure gauge abelian model with anisotropic couplings which at
zero temperature exhibits a new interesting phase, the layer phase. This phase
is characterized by a massless photon living on the four dimensional subspace
and confinement along the extra dimension. We show that, as long as the
temperature takes a non zero value the aforementioned layer phase disappears.
It would be equivalent to assume that at finite temperature the
higher-dimensional lattice model loses any feature of the layered structure due
to the deconfinement which opens up the interactions between the
three-dimensional subspaces at finite temperature.
