Self-consistent calculation of total energies of the electron gas using many-body perturbation theory - art. no. 075112

The performance of many-body perturbation theory for calculating ground-sta te properties is investigated. We present fully numerical results for the e lectron gas in three and two dimensions in the framework of the GW approxim ation. The overall agreement with very accurate Monte Carlo data is excelle nt, even for those ranges of densities for which the GW approach is often s upposed to be unsuitable. The latter seems to be due to the fulfillment of general conservation rules. These results open further prospects for accura te calculations of ground-state properties circumventing the limitations of standard density-functional theory.