Notes on AdS-Schwarzschild eikonal phase

A bstract We consider the eikonal phase associated with gravitational scattering of a highly energetic light particle off very heavy object in AdS spacetime. simple expression for this follows from WKB approximation to amplitude and has been computed all orders ratio impact parameter Schwarzschild radius particle. The is related deflection angle by usual stationary relation. flat space limit observe that sufficiently small parameters (or angular momenta) develops large imaginary part; inelastic cross-section exactly classical absorption black hole. also double scaling where momentum becomes null simultaneously asymptotically hole becoming large. In dual CFT retains contributions leading twist multi stress tensor operators, which are universal respect addition higher derivative terms lagrangian. compute Lyapunov exponent limit.