Taming the Non Abelian Born-Infeld Action

TL;DR

This paper derives an explicit form of the non-abelian Born-Infeld action for D-particles, including all alpha' corrections, which stabilizes certain classical trajectories that are unstable in simpler models.

Contribution

It provides a novel explicit reduction of the non-abelian Born-Infeld action to elliptic integrals, capturing all alpha' corrections for D-particle interactions.

Findings

Explicit elliptic integral representation of the action

All alpha' corrections included in the analysis

Stabilization of classical trajectories like the eikonal

Abstract

We show how to reduce the non abelian Born-Infeld action describing the interaction of two D-particles to the sum of elliptic integrals depending on simple kinematic invariants. This representation gives explicitly all alpha' corrections to D-particle dynamics. The alpha' corrections induce a stabilization of the classical trajectories such as the ``eikonal'' which are unstable within the Yang-Mills approximation.