Renormalizable Quantum Gauge Theory of Gravity

The quantum gravity is formulated based on gauge principle. The model discussed in this paper has local gravitational gauge symmetry and gravitational field is represented by gauge potential. A preliminary study on gravitational gauge group is presented. Path integral quantization of the theory is discussed in the paper. A strict proof on the renormalizability of the theory is also given. In leading order approximation, the gravitational gauge field theory gives out classical Newton’s theory of gravity. It can also give out an Einstein-like field equation with cosmological term. The prediction for cosmological constant given by this model is well consistent with experimental results. For classical tests, it gives out the same theoretical predictions as those of general relativity. Combining cosmological principle with the field equation of gravitational gauge field, we can also set up a cosmological model which is consistent with recent observations. ∗email address: wuning@heli.ihep.ac.cn