Planckian Scattering of Non-abelian Gauge Particles

TL;DR

This paper investigates high-energy scattering of non-abelian gauge particles within Einstein gravity, demonstrating BRST invariance and analyzing gravitational shock waves in a semi-classical framework.

Contribution

It provides a systematic semi-classical analysis of non-abelian gauge particle scattering at Planckian energies, maintaining gauge invariance and exploring gravitational shock wave effects.

Findings

BRST invariance of Yang-Mills action is preserved at Planckian energies.

Gravitational shock waves associated with gauge particles are characterized.

Effective theory of Yang-Mills gravity includes shock wave phenomena.

Abstract

We present a systematic study of high energy scattering of non-abelian gauge particles in (3+1) dimensional Einstein gravity using semi-classical techniques of Verlinde and Verlinde. It is shown that the BRST gauge invariance of the Yang-Mills action in presence of quantum gravity at Planckian energy regime is maintained and the vertex operator is invariant under the BRST transformations. The presence of gravitational shock wave describing the gauge particles is discussed in the resulting (3+1) dimensional effective theory of Yang-Mills gravity.