Planckian Scattering of D-Branes

TL;DR

This paper analyzes Planckian scattering of D-branes in four dimensions, showing that weak and strong coupling amplitudes match, and extends the analysis to charged particles within string theory frameworks.

Contribution

It demonstrates the exact match of scattering amplitudes for D-branes at weak and strong coupling and extends the analysis to charged particles.

Findings

Weak coupling D-brane scattering amplitudes match strong coupling results.

Black hole solutions from p-branes can model point particle scattering.

Charged particle scattering is successfully extended in the framework.

Abstract

We consider the gravitational scattering of point particles in four dimensions, at Planckian centre of mass energy and low momentum transfer, or the eikonal approximation. The scattering amplitude can be exactly computed by modelling point particles by very generic metrics. A class of such metrics are black hole solutions obtained from dimensional reduction of p-brane solutions with one or more Ramond-Ramond charges in string theory. At weak string coupling, such black holes are replaced by a collection of wrapped D-branes. Thus, we investigate eikonal scattering at weak coupling by modelling the point particles by wrapped D-branes and show that the amplitudes exactly match the corresponding amplitude found at strong coupling. We extend the calculation for scattering of charged particles.