  Minimally doubled fermions have been proposed as a cost-effective realization
of chiral symmetry at non-zero lattice spacing. Using lattice perturbation
theory at one loop, we study their renormalization properties. Specifically, we
investigate the consequences of the breaking of hyper-cubic symmetry, which is
a typical feature of this class of fermionic discretizations. Our results for
the quark self-energy indicate that the four-momentum undergoes a
renormalization which contains a linearly divergent piece. We also compute
renormalization factors for quark bilinears, construct the conserved vector and
axial-vector currents and verify that at one loop the renormalization factors
of the latter are equal to one.
