  We present a superfluid theory of a polarized dipolar Fermi gas. For two
dipolar molecules each of which consists of two atoms with positive charge and
negative charge, we derive an effective dipole-dipole pairing interaction.
Using this pairing interaction, we show that the resulting BCS gap equation is
not suffered from the well-known ultraviolet divergence, so that one can
quantitatively predict superfluid properties of a dipolar Fermi gas. Using this
cutoff-free superfluid theory, we examine the symmetry of the superfluid order
parameter at T=0. We also discuss the deformation of the Fermi surface,
originating from the anisotropy of the dipole-dipole interaction.
