@article{346, keywords = {paper}, author = {Fabien Bruneval and Francesco Sottile and Olevano V and Rodolfo Del Sole and Lucia Reining}, title = {Many-body perturbation theory using the density-functional concept: Beyond the GW approximation}, abstract = {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.}, year = {2005}, journal = {Phys. Rev. Lett.}, volume = {94}, number = {18}, pages = {186402}, publisher = {AMERICAN PHYSICAL SOC}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, url = {http://dx.doi.org/10.1103/PhysRevLett.94.186402}, doi = {10.1103/PhysRevLett.94.186402}, }