2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18416We propose a simple analytic representation of the correlation energy for the two-dimensional electron gas, as a function of the density and the spin polarization. This new parametrization includes most of the known high- and low- density limits and fits our new fixed-node diffusion Monte Carlo simulations, performed for a wide range of electron densities and spin-polarization states. In this way we provide a reliable local-spin-density energy functional for two-dimensional systems. The corresponding correlation potential is discussed and compared with previous models.minor typos corrected, see also cond-mat/0109492Strongly Correlated Electronstext