Bounds on Regge growth of flat space scattering from bounds on chaos

Understand

We study four-point functions of scalars, conserved currents, and stress tensors in a conformal field theory, generated by a local contact term in the bulk dual description, in two different causal configurations.

• The first of these is the standard Regge configuration in which the chaos bound applies.
• The second is the `causally scattering configuration' in which the correlator develops a bulk point singularity.
• We find an expression for the coefficient of the bulk point singularity in terms of the bulk S matrix of the bulk dual metric, gauge fields and scalars, and use it to determine the Regge scaling of the correlator on the causally scattering sheet in terms of the Regge growth of this S matrix.