  We consider Lifshitz-type scalar theories with explicit breaking of the
Lorentz symmetry that, in addition, exhibit anisotropic scaling laws near the
ultraviolet fixed point. Using the proper time regularization method on the
spatial coordinates only, we derive the regularized form of the one-loop
effective potential in such theories. We study the main features of the
one-loop effective potential and, also, the RG flow of the scale-dependent
potential both in the IR and UV regimes. The beta functions for the couplings
are derived.
