Differential Geometrical Formulation of Gauge Theory of Gravity

TL;DR

This paper develops a differential geometric formulation of quantum gauge theory of gravity, bridging it with traditional quantum gravity in curved space, and clarifies their relationship within quantum field theory.

Contribution

It provides a complete differential geometric framework for quantum gauge gravity, connecting it with classical geometric formulations of gravity.

Findings

Established correspondence between quantum gauge gravity and differential geometry.

Formulated quantum gauge gravity within differential geometric framework.

Facilitated comparison with traditional quantum gravity in curved space.

Abstract

Differential geometric formulation of quantum gauge theory of gravity is studied in this paper. The quantum gauge theory of gravity which is proposed in the references hep-th/0109145 and hep-th/0112062 is formulated completely in the framework of traditional quantum field theory. In order to study the relationship between quantum gauge theory of gravity and traditional quantum gravity which is formulated in curved space, it is important to find the differential geometric formulation of quantum gauge theory of gravity. We first give out the correspondence between quantum gauge theory of gravity and differential geometry. Then we give out differential geometric formulation of quantum gauge theory of gravity.