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The dispersions, weights, and widths of the peaks of the single-particlespectral function in the presence of pair correlations, for a Fermi gas witheither attractive or repulsive short-range inter-particle interaction, aredetermined in the normal phase over a wide range of wave vectors, with atwofold purpose. The first one is to determine how these dispersions identifyboth an energy scale known as the pseudo-gap near the Fermi wave vector, aswell as an additional energy scale related to the contact C at large wavevectors. The second one is to differentiate the behaviors of the repulsive gasfrom the attractive one in terms of crossing versus avoided crossing of thedispersions near the Fermi wave vector. An analogy will also be drawn betweenthe occurrence of the pseudo-gap physics in a Fermi gas subject to pairfluctuations and the persistence of local spin waves in the normal phase ofmagnetic materials.

Dispersions, weights, and widths of the single-particle spectral function in the normal phase of a Fermi gas