Low-Energy Electronic Excitations of the Layered Cuprates and the Hubbard Model

We present a review of the Quantum Monte Carlo results on the magnetic, charge and single-particle excitations as well as the pairing correlations of the two-dimensional Hubbard model. We are particularly interested in how these quantities are related to each other in the metallic state that forms near half-filling. These results are helpful in gaining a better understanding of the low energy excitations of the superconducting cuprates.