2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154208We calculate the effect of order parameter fluctuations on the fermionic single-particle excitations in the superfluid state of neutral fermions interacting with short range attractive forces. We show that in dimensions D \leq 3 the singular effective interaction between the fermions mediated by the gapless Bogoliubov-Anderson mode prohibits the existence of well-defined quasi-particles. We explicitly calculate the single-particle spectral function in the BEC regime in D=3 and show that in this case the quasi-particle residue and the density of states are logarithmically suppressed.4 RevTex pages, 3 figures; title changed, new Figure 1, added references. We argue that in the entire regime of the BCS-BEC crossover the quasi-particle picture breaks down in D <=3 for neutral fermions (but NOT for charged fermions)SuperconductivityStrongly Correlated Electronstext