Projected wave functions and high temperature superconductivity

We study the Hubbard model with parameters relevant to cuprates using variational Monte Carlo for projected d-wave states. For doping 0 < x 0.35 we obtain a superconductor whose order parameter Phi (x) tracks the observed nonmonotonic T-c(x). The variational parameter Delta (var)(x) scales with the (pi, 0) hump and T* seen in photoemission. Projection leads to incoherence in the spectral function and from the singular behavior of its moments we obtain the nodal quasiparticle weight Z similar to x though the Fermi velocity remains finite as x --> 0. The Drude weight D-low and superfluid density are consistent with experiment and D-low similar to Z.