Chern-Simons States in $SO(1,n)$ Yang-Mills Gauge Theory of Quantum Gravity

Abstract

We discuss a quantization of the Yang--Mills theory with an internal symmetry group $SO(1,n)$ treated as a unified theory of all interactions. In one-loop calculations, we show that Einstein gravity can be considered as an approximation to gauge theory. We discuss the role of the Chern-Simons wave functions in the quantization.