We discuss the methodology of quantum Monte Carlo calculations of the effective mass based on the static self energy, $\Sigma(k,0)$. We then use variational Monte Carlo calculations of $\Sigma(k,0)$ of the homogeneous electron gas at various densities to obtain results very close to perturbative $G_0 W_0$ calculations for values of the density parameter $1 \le r_s \le 10$. The obtained values for the effective mass are close to diagrammatic Monte Carlo results and disagree with previous quantum Monte Carlo calculations based on a heuristic mapping of excitation energies to those of an ideal gas.
Categories: cond-mat.str-el cond-mat.mtrl-sci cond-mat.stat-mech physics.comp-ph quant-ph