Simple model for quantum general relativity from loop quantum gravity

TL;DR

This paper presents a simplified, general-covariant quantum field theory model derived from loop quantum gravity, highlighting its topological nature, relation to lattice theory, and potential connections to general relativity and UV finiteness.

Contribution

It introduces a new, accessible formulation of a quantum gravity model as a generalized topological quantum field theory with infinite degrees of freedom.

Findings

Model is related to general relativity

Indications of UV finiteness

Connection to lattice theory

Abstract

New progress in loop gravity has lead to a simple model of `general-covariant quantum field theory'. I sum up the definition of the model in self-contained form, in terms accessible to those outside the subfield. I emphasize its formulation as a generalized topological quantum field theory with an infinite number of degrees of freedom, and its relation to lattice theory. I list the indications supporting the conjecture that the model is related to general relativity and UV finite.