Optical conductivity in the 'hot spots' model of the pseudogap state

We consider a two-dimensional model of the pseudogap state, based on the scenario of strong electron scattering by fluctuations of 'dielectric' (AFM, CDW) short-range order, dominating within the regions around 'hot spots' on the Fermi surface. A system of recurrence equations is constructed both for one-particle Green's function and vertex part, describing electron interaction with an external field, which takes into account all Feynman graphs for electron scattering these (Gaussian) fluctuations. The results of detailed calculations of optical conductivity are presented for different geometries (topologies) of the Fermi surface, demonstrating both the effects of pseudogap formation and localization effects