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 27/09/00, accepted 11/12/00
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Măntoiu, M., Purice, R. A-Priori Decay for Eigenfunction of Perturbed Periodic Schrödinger Operators. Ann. Henri Poincaré 2, 525–551 (2001). https://doi.org/10.1007/PL00001044
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DOI: https://doi.org/10.1007/PL00001044