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

TL;DR

This paper explores the quantization of an $SO(1,n)$ Yang-Mills gauge theory as a unified approach to all interactions, highlighting Einstein gravity as an approximation and examining Chern-Simons wave functions in the quantum framework.

Contribution

It introduces a novel quantization scheme for $SO(1,n)$ Yang-Mills theory and links gravity to gauge theory through one-loop calculations and Chern-Simons states.

Findings

Einstein gravity emerges as an approximation in the gauge theory

Chern-Simons wave functions play a role in quantization

One-loop calculations support the unification approach

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.