  In this work we study a z=3 Horava-Lifshitz-like extension of QED in (3+1)
dimensions. We calculate the one-loop radiative corrections to the two and
three-point functions of the gauge and fermion fields. Such corrections were
achieved using the perturbative approach and a dimensional regularization was
performed only in the spatial sector.
  Renormalization was required to eliminate the divergent contributions
emergent from the photon and electron self-energies and from the three-point
function. We verify that the one-loop vertex functions satisfy the usual Ward
identities and using renormalization group methods we show that the model is
asymptotically free.
