Quantum Gravity as a quantum field theory of simplicial geometry

TL;DR

This paper introduces the group field theory approach to quantum gravity, explaining its motivations, formalism, and conceptual foundations, while discussing potential future directions in the field.

Contribution

It provides a comprehensive overview of the group field theory framework for quantum gravity, emphasizing its conceptual and formal aspects, and outlines future research perspectives.

Findings

Clarifies the formal structure of group field theory

Highlights conceptual motivations for the approach

Discusses potential future developments in quantum gravity

Abstract

This is an introduction to the group field theory approach to quantum gravity, with emphasis on motivations and basic formalism, more than on recent results; we elaborate on the various ingredients, both conceptual and formal, of the approach, giving some examples, and we discuss some perspectives of future developments.