  The effect of static fluctuations in the phase of the order parameter on the
normal and superconducting properties of a 2D system with attractive
four-fermion interaction has been studied. Analytic expressions for the fermion
Green function, its spectral density and the density of states are derived. The
resultant single-particle Green function clearly demonstrates non-Fermi liquid
behavior. The results show that as the temperature increases through the 2D
critical temperature the width of the quasiparticle peaks broadens
significantly. At the same time one retains the gap in quasiparticle spectrum.
The spectral density for the dynamical fluctuations can also be obtained.
Clearly the dynamical fluctuations fill the gap giving the observed pseudogap
behaviour.
