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Abstract: The one- and the two-particle propagators for an infinite non-interactingFermi system are studied as functions of space-time coordinates. Theirbehaviour at the origin and in the asymptotic region is discussed, as is theirscaling in the Fermi momentum. Both propagators are shown to have a divergenceat equal times. The impact of the interaction among the fermions on theirmomentum distribution, on their pair correlation function and, hence, on theCoulomb sum rule is explored using a phenomenological model. Finally theproblem of how the confinement is reflected in the momentum distribution of thesystem-s constituents is briefly addressed.

Author: M.B. Barbaro, D. Berardo, R. Cenni, T.W. Donnelly, A. Molinari

Source: https://arxiv.org/

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