One-loop diagrams in AdS space

摘要: We study the complex scalar loop corrections to boundary-boundary gauge two-point function in pure AdS space Poincare coordinates, presence of boundary quadratic perturbations scalar. These correspond double-trace dual CFT and modify conditions bulk scalars AdS. find that, addition usual UV divergences, one-loop calculation suffers from a divergence originating limit as vertices approach horizon. show that this type is independent coupling; making use we extract finite relative variation imaginary part via Cutkosky rules perturbation varies. Applying our methods compute effects time-dependent impurity conductivities using replica trick AdS/CFT, generally an IR-relevant disorder reduces conductivity extreme low frequency correction due impurities overwhelms planar result even though it supposedly 1/N{sup 2} suppressed. also comment on more physical scenario time-independent impurity.