  We reexamine the possibility of d-wave superconductivity in the hole-doped
two-dimensional Hubbard model. In terms of the gauge field description of the
spin fluctuations, we show that d-wave superconductivity is unstable in the
perturbative region with respect to the on-site Coulomb repulsion, U. Whereas
in the region where d-wave superconductivity is possible, there is a strong
constraint on the gap of superconductivity. Analysis of the localized spin
moments suggests that there is another d-wave (d_{x^2-y^2}-wave) pairing due to
the short-range antiferromagnetic correlation.
