PLANCKIAN SCATTERING OF NON-ABELIAN GAUGE PARTICLES

We present a systematic study of high energy scattering of non-Abelian gauge particles in (3 + 1)-dimensional Einstein gravity using semicla ssical techniques of Verlinde and Verlinde. It is shown that the BRST gauge invariance of the Yang-Mills action in the presence of quantum g ravity in the Planckian energy regime is maintained and the vertex ope rator is invariant under BRST transformations. The presence of gravita tional shock wave describing the gauge particles is discussed in the r esulting (3 + 1)-dimensional effective theory of Yang-Mills gravity.