An overview of canonical quantum gravity

TL;DR

This paper reviews the current state of canonical quantum gravity, focusing on Ashtekar's variables and loop quantization methods, providing a concise overview of recent progress in the field.

Contribution

It offers a brief summary of recent results in canonical quantization of general relativity using Ashtekar's variables and loop quantization techniques.

Findings

Summarizes key developments in loop quantum gravity.

Highlights progress in canonical quantization methods.

Provides an overview of Ashtekar's variables applications.

Abstract

This is a summary of a talk delivered at the workshop ``Quantum gravity in the Southern Cone II''. We present a very brief review of current results on canonical quantization of general relativity using Ashtekar's variables and loop quantization.