The Dynamical Cluster Approximation (DCA) is used to study non-local correc
tions to the dynamical mean-field phase diagram of the two-dimensional Hubb
ard model. Regions of antiferromagnetic, d-wave superconducting, pseudo-gap
ped non-Fermi liquid, and Fermi liquid behaviors are found, in rough agreem
ent with the generic phase diagram of the cuprates. The non-local fluctuati
ons beyond the mean field both suppress the antiferromagnetism and mediate
the superconductivity.