Influence of thermal phase fluctuations on the spectral function for a two-dimensional d -wave superconductor

We study the spectral function of a two-dimensional superconductor in a regime of strong phase fluctuations. Although the developed approach is valid for any symmetry, we concentrate on d -wave superconductors. We obtain analytical expressions for the single electron Green's function below the transition temperature and have worked out a way to extrapolate it for a finite temperatures above T_c. The suggested approach is easily generalizable for other models with critical fluctuations.