Localization-delocalization dichotomy: Inherent spectral properties of the cuprates

We consider hole pairing in the pseudopgap phase of High T_c cuprates, as arising from resonant scattering on dynamically deformable molecular units. As a result, localized and delocalized features coexist in the one-particle spectra: the pseudogap and propagating diffusive Bogoliubov modes. Due to the anisotropy of the electron dispersion and pairing interaction, these two manifestations have different impact in the different regions of the Brillouin zone. We illustrate that for k-vectors crossing the arc, determined by the chemical potential, joining the anti-nodal and the nodal point.