%0 Journal Article %T Taming the Non Abelian Born-Infeld Action %A Irina Ya. Aref'eva %A Gabriele Ferretti %A Alexey S. Koshelev %J Physics %D 1998 %I arXiv %R 10.1142/S0217732398002564 %X 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. %U http://arxiv.org/abs/hep-th/9804018v1