Fixed Points of Quantum Gravity and the Renormalisation Group

TL;DR

This paper reviews the asymptotic safety approach to quantum gravity, emphasizing the significance of an ultraviolet fixed point, and discusses renormalisation group methods, key results, and phenomenological implications.

Contribution

It provides a comprehensive overview of the fixed point scenario in quantum gravity, including new insights from lattice simulations and phenomenological considerations.

Findings

Identification of an ultraviolet fixed point in quantum gravity

Agreement between renormalisation group results and lattice simulations

Potential observable effects in collider experiments

Abstract

We review the asymptotic safety scenario for quantum gravity and the role and implications of an underlying ultraviolet fixed point. We discuss renormalisation group techniques employed in the fixed point search, analyse the main picture at the example of the Einstein-Hilbert theory, and provide an overview of the key results in four and higher dimensions. We also compare findings with recent lattice simulations and evaluate phenomenological implications for collider experiments.