We review the mechanism of dimensional deconstruction. Dimensional deconstruction is useful to make additional dimensions dynamically at low energies where the emerging dimensions are latticized .
Fundamental fermion fields live at high energy scales. This fermion fields condensate to meson fields at low energy scales. This meson fields have a Coleman-Weinberg effective potential through the interaction with gauge bosons. And we investigate whether this effective potential has a spontaneous symmetry breaking or not, using the d=5 ring moose model and the d=6 toroidal moose model.