Momentum distribution of the homogeneous electron gas

We calculate the off-diagonal density matrix of the homogeneous electron gas at zero temperature using unbiased reptation Monte Carlo calculations for various densities and extrapolate the momentum distribution and the kinetic and potential energies to the thermodynamic limit. Our results on the renormalization factor allow us to validate approximate G₀W ₀ calculations concerning quasiparticle properties over a broad density region (1≤r_s10) and show that, near the Fermi surface, vertex corrections and self-consistency aspects almost cancel each other out.