The Quantization of Gravity. Dynamic Approach

TL;DR

This paper introduces a new mathematically rigorous quantization scheme for gravity based on dynamic quantization, developing a canonical formalism in tetrad-connection variables and demonstrating covariant equations of motion for regularized fields.

Contribution

It presents a novel quantization approach for gravity using dynamic quantization and constructs a canonical formalism in tetrad-connection variables for 4-D pure gravity.

Findings

Regularized quantum fields satisfy covariant equations of motion

The formalism maintains classical form of equations in the quantum regime

An iterative procedure is proposed to solve the equations

Abstract

On the basis of dynamic quantization method we build in this paper a new mathematically correct quantization scheme of gravity. In the frame of this scheme we develop a canonical formalism in tetrad-connection variables in 4-D theory of pure gravity. In this formalism the regularized quantized fields corresponding to the classical tetrad and connection fields are constructed. It is shown, that the regularized fields satisfy to general covariant equations of motion, which have the classical form. In order to solve these equations the iterative procedure is offered.