Group Field Theory and Loop Quantum Gravity

TL;DR

This paper introduces the group field theory formalism for quantum gravity, connecting it with loop quantum gravity, and discusses its foundations, recent results, and future prospects.

Contribution

It presents the formalism of group field theory in the context of loop quantum gravity and surveys recent advancements and future directions.

Findings

Established foundations of group field theory for quantum gravity.

Surveyed recent results in the field.

Outlined future research perspectives.

Abstract

We introduce the group field theory formalism for quantum gravity, mainly from the point of view of loop quantum gravity, stressing its promising aspects. We outline the foundations of the formalism, survey recent results and offer a perspective on future developments.