Comment on "Breaking the theoretical scaling limit for predicting   quasi-particle energies: The stochastic GW approach", by Daniel Neuhauser et   al., arXiv:1402.5035v1
  We show that the recently-introduced formalism by Neuhauser et al. for the calculation of the quasi-particle energies of electronic systems within the framework of the GW approximation of the self-energy operator, named the `stochastic GW approach' and empirically shown to have a linear-scaling arithmetic complexity for increasing number of electrons, suffers from two fundamental shortcomings that cannot be overcome while maintaining the present empirical linear-scaling property of the approach. 
Behnam Farid
cond-mat.mes-hall cond-mat.mtrl-sci