Singularity Cancellation in Fermion Loops through Ward Identities

Details Singularity Cancellation in Fermion Loops through Ward Identities Singularity Cancellation in Fermion Loops through Ward Identities

2000-07-28

arxiv.org/abs/cond-mat/0007478v3

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 2nd corrected and improved version, to appear in Ann. Henri Poincare

Scientific paper

10.1007/PL00001043

Recently Neumayr and Metzner have shown that the connected N-point density- correlation functions of the two-dimensional and the one-dimensional Fermi gas at one-loop order generically vanish/are regular in the small momentum/small energy-momentum limits. Their result is based on an explicit analysis in the sequel of results of Feldman et al.[2]. In this note we use Ward identities to give a proof of the same fact - in a considerably shortened and simplified way - for any dimension of space.

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