High energy QCD scattering, the shape of gravity on an IR brane, and the Froissart bound

TL;DR

This paper explores high-energy scattering in non-conformal gauge theories via AdS/CFT, showing that strong-gravity effects like black hole formation influence the dynamics and lead to a cross-section growth saturating the Froissart bound.

Contribution

It introduces a linearized gravity analysis near an IR brane to estimate the shape of strong-gravity effects and connect them to the Froissart bound saturation in scattering.

Findings

Black hole formation impacts dual gauge theory scattering processes.

The scattering cross-section grows as ln^2 E, saturating the Froissart bound.

Linearized gravity analysis provides estimates of the shape of strong-gravity effects.

Abstract

High-energy scattering in non-conformal gauge theories is investigated using the AdS/CFT dual string/gravity theory. It is argued that strong-gravity processes, such as black hole formation, play an important role in the dual dynamics. Further information about this dynamics is found by performing a linearized analysis of gravity for a mass near an infrared brane; this gives the far field approximation to black hole or other strong-gravity effects, and in particular allows us to estimate their shape. From this shape, one can infer a total scattering cross-section that grows with center of mass energy as ln^2 E, saturating the Froissart bound.