Abstract.
Recently Neumayr and Metzner [1] 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 (i.e.for nonexceptional energy-momentum configurations) vanish/are regular in the small momentum/small energy-momentum limits. Their result is based on an explicit analysis in the sequel of the 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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Submitted 01/08/00, accepted 10/01/01
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Kopper, C., Magnen, J. Singularity Cancellation in Fermion Loops Through Ward Identities. Ann. Henri Poincaré 2, 513–524 (2001). https://doi.org/10.1007/PL00001043
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DOI: https://doi.org/10.1007/PL00001043