  By imposing the weighted renormalization condition and the (super)symmetry
requirements, we construct a Lifshitz-like extension of the three-dimensional
Wess-Zumino model, with dynamical critical exponent z=2. In this context, the
auxiliary field F plays a key role by introducing the appropriate Lifshitz
operator in the bosonic sector of the theory, avoiding so undesirable
time-space mixing derivatives and inconsistencies concerning the critical z
exponent, as reported in the literature. The consistency of the proposed model
is verified by building explicitly the susy algebra through the Noether method
in the canonical formalism. This component-field Lifshitz-Wess-Zumino model is
in addition rephrased in the Lifshitz superspace, a natural modification of the
conventional one. The one-loop effective potential is computed to study the
possibility of symmetry breaking. It is found that supersymmetry remains intact
at one-loop order, while the U(1) phase symmetry suffers a spontaneous
breakdown above the critical value of the renormalization point. By
renormalizing the one-loop effective potential within the cutoff regularization
scheme, it is observed an improvement of the UV behavior of the theory compared
with the relativistic Wess-Zumino model.
