TY - JOUR KW - paper AU - Fabien Bruneval AU - Francesco Sottile AU - Olevano V AU - Rodolfo Del Sole AU - Lucia Reining AB - We propose an alternative formulation of many-body perturbation theory that uses the density-functional concept. Instead of the usual four-point integral equation for the polarizability, we obtain a two-point one, which leads to excellent optical absorption and energy-loss spectra. The corresponding three-point vertex function and self-energy are then simply calculated via an integration, for any level of approximation. Moreover, we show the direct impact of this formulation on the time-dependent density-functional theory. Numerical results for the band gap of bulk silicon and solid argon illustrate corrections beyond the GW approximation for the self-energy. BT - Phys. Rev. Lett. CY - ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA DO - 10.1103/PhysRevLett.94.186402 M1 - 18 N2 - We propose an alternative formulation of many-body perturbation theory that uses the density-functional concept. Instead of the usual four-point integral equation for the polarizability, we obtain a two-point one, which leads to excellent optical absorption and energy-loss spectra. The corresponding three-point vertex function and self-energy are then simply calculated via an integration, for any level of approximation. Moreover, we show the direct impact of this formulation on the time-dependent density-functional theory. Numerical results for the band gap of bulk silicon and solid argon illustrate corrections beyond the GW approximation for the self-energy. PB - AMERICAN PHYSICAL SOC PP - ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA PY - 2005 EP - 186402 T2 - Phys. Rev. Lett. TI - Many-body perturbation theory using the density-functional concept: Beyond the GW approximation UR - http://dx.doi.org/10.1103/PhysRevLett.94.186402 VL - 94 ER -