We consider the one-loop effective potential at zero and finite temperature
in field theories with anisotropic space-time scaling, with critical exponent
z=2, including both scalar and gauge fields. Depending on the relative
strength of the coupling constants for the gauge and scalar interactions, we
find that there is a symmetry breaking term induced at one-loop at zero
temperature and we find symmetry restoration through a first-order phase
transition at high temperature.Comment: 12 pages, 2 figures, final version accepted in Phys. Let
