  In this work we report on the Landau gauge photon propagator computed for
pure gauge 4D compact QED in the confined and deconfined phases and for large
lattices volumes: $32^4$, $48^4$ and $96^4$. In the confined phase, compact QED
develops mass scales that render the propagator finite at all momentum scales
and no volume dependence is observed for the simulations performed.
Furthermore, for the confined phase the propagator is compatible with a Yukawa
massive type functional form. For the deconfined phase the photon propagator
seems to approach a free field propagator as the lattice volume is increased.
In both cases, we also investigate the static potential and the average value
of the number of Dirac strings in the gauge configurations $m$. In the confined
phase the mass gap translates into a linearly growing static potential, while
in the deconfined phase the static potential approaches a constant at large
separations. Results shows that $m$ is, at least, one order of magnitude larger
in the confined phase and confirm that the appearance of a confined phase is
connected with the topology of the gauge group.
