  We present a new formulation of the staggered fermion on the D-dimensional
lattice based on the SO(2D) Clifford algebra, which is naturally present in the
action. The action of the massless staggered fermion is invariant under the
discrete rotation and the SO(2D) chiral and other discrete transformations.
  From transformation properties of the fermion, we find two local meson
operators (one scalar and one pseudoscalar) in addition to two standard meson
operators.
