Leading-order behavior of the correlation energy in the uniform electron   gas
  We show that, in the high-density limit, restricted M{\o}ller-Plesset (RMP) perturbation theory yields $E_{\text{RMP}}^{(2)} = \pi^{-2}(1-\ln 2) \ln r_s + O(r_s^0)$ for the correlation energy per electron in the uniform electron gas, where $r_s$ is the Seitz radius. This contradicts an earlier derivation which yielded $E_{\text{RMP}}^{(2)} = O(\ln|\ln r_s|)$. The reason for the discrepancy is explained. 
Pierre-Fran\c{c}ois Loos and Peter M. W. Gill
cond-mat.str-el cond-mat.other physics.chem-ph physics.comp-ph