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

We show that, in the high‐density limit, restricted Møller‐Plesset (RMP) perturbation theory yields E = π −2 (1 − ln 2) ln r s + O ( r ) 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 = O (ln|ln r s |). The reason for the discrepancy is explained.