On the low energy brane/anti-brane dynamics

TL;DR

This paper analyzes the dynamics of parallel Dp-brane and anti Dp-brane pairs in a low-energy regime, revealing that only for p=6 do classical bound orbits exist, emphasizing the role of non-linear DBI action.

Contribution

It provides a general analysis of brane-antibrane dynamics in the low-energy limit, highlighting the special case p=6 with bound orbits and solving their explicit trajectories.

Findings

Classical bound orbits exist only for p=6.

Non-linearity of the DBI action influences brane dynamics.

Explicit solutions for p=6 brane orbits are obtained.

Abstract

We study the dynamical behavior of a pair of Dp-brane and anti Dp-brane ($0 \leq p \leq 6$) moving parallel to each other in the region where the brane and anti-brane annihilation will not occur and the low energy description is valid. Given this, we perform a general analysis, in the center of mass frame, of the behavior of the effective potential with respect to the relative brane separation and find that the classical orbits of this system are in general unbound except for $p = 6$ case for which classical bound orbits exist. The non-linearity of the low energy DBI action for D-brane is important for the underlying dynamics. We solve also the explicit orbits for $p = 6$ case.