Black Holes, Heavy States, Phase Shift and Anomalous Dimensions

Understand

We compute the phase shift of a highly energetic particle traveling in the background of an asymptotically AdS black hole.

• In the dual CFT, the phase shift is related to a four point function in the Regge limit.
• The black hole mass is translated to the ratio between the conformal dimension of a heavy operator and the central charge.
• This ratio serves as a useful expansion parameter; its power measures the number of stress tensors appearing in the intermediate channel.