Introductory lectures to loop quantum gravity

TL;DR

This paper provides an introductory overview of loop quantum gravity, covering foundational concepts from ADM variables to spin network states, and discusses quantum geometry and its relation to discrete general relativity.

Contribution

It offers a comprehensive, accessible introduction to loop quantum gravity, connecting quantum geometry with classical discretized gravity models.

Findings

Quantum geometry can be described on fixed graphs.

Spin network states serve as a basis for quantum states of geometry.

The approach relates to discrete approximations of general relativity.

Abstract

We give a standard introduction to loop quantum gravity, from the ADM variables to spin network states. We include a discussion on quantum geometry on a fixed graph and its relation to a discrete approximation of general relativity.