  We study the one-loop effective potentials of the four-dimensional Lifshitz
scalar field theory with the particular anisotropic scaling $z=2$, and show
that the renormalization is possible without resort to the renormalization of
the coupling constant due to the improvement of UV divergence. Moreover, the IR
divergence can be also solved for the massless case of $m^2 =0$, because of the
absence of the logarithmic divergence. For a massive case, we obtain a
condition for the symmetry breaking. Finally, we investigate whether the
critical temperature can exist or not in this approximation. The physical
consequences of the other logarithmic divergence free model is discussed.
