Leading-order behavior of the correlation energy in the uniform electron gas

We show that, in the high-density limit, restricted M phi ller-Plesset (RMP) perturbation theory yields E-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 rs is the Seitz radius. This contradicts an earlier derivation which yielded E-RMP((2)) = O(ln vertical bar ln r(s)vertical bar). The reason for the discrepancy is explained. (c) 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012