Deconstructing 5D QED

We discuss periodic compactification and latticization of a 5D U(1) theory with a Dirac fermion, yielding a 1+3 effective theory. We address subtleties in the lattice fermionic action, such as fermion doubling and the Wilson term. We compute the Coleman-Weinberg potential for the Wilson line which is finite for N-branes greater than or equal to3, due to the Z(N) symmetry, which replaces translations in the 5th dimension. This mode becomes a PNGB in the low energy 1+3 theory. We derive its anomalous coupling to the photon and its KK modes.