Fixed points of quantum gravity in extra dimensions

TL;DR

This paper investigates quantum gravity in higher dimensions using renormalisation group techniques, identifying a stable ultraviolet fixed point that suggests asymptotic safety and potential experimental signatures in models with extra dimensions.

Contribution

It demonstrates the existence of a non-trivial ultraviolet fixed point in higher-dimensional quantum gravity, supporting the asymptotic safety scenario.

Findings

Stable fixed points in higher-dimensional quantum gravity.

Connection between ultraviolet fixed point and infrared domain.

Implications for models with extra dimensions and low-scale gravity.

Abstract

We study quantum gravity in more than four dimensions with renormalisation group methods. We find a non-trivial ultraviolet fixed point in the Einstein-Hilbert action. The fixed point connects with the perturbative infrared domain through finite renormalisation group trajectories. We show that our results for fixed points and related scaling exponents are stable. If this picture persists at higher order, quantum gravity in the metric field is asymptotically safe. We discuss signatures of the gravitational fixed point in models with low-scale gravity and compact extra dimensions.