Fixed points of quantum gravity in higher dimensions

TL;DR

This paper investigates the existence of a non-trivial ultraviolet fixed point in higher-dimensional quantum gravity using functional flow methods, suggesting the theory could be asymptotically safe and have phenomenological implications.

Contribution

It demonstrates the presence of a stable fixed point in higher-dimensional quantum gravity and discusses its potential physical consequences.

Findings

Stable ultraviolet fixed point found in higher dimensions

Results remain consistent under extended truncations

Implications for low-scale quantum gravity models

Abstract

We study quantum gravity in more than four dimensions by means of an exact functional flow. A non-trivial ultraviolet fixed point is found in the Einstein-Hilbert theory. It is shown that our results for the fixed point and universal scaling exponents are stable. If the fixed point persists in extended truncations, quantum gravity in the metric field is asymptotically safe. We indicate physical consequences of this scenario in phenomenological models with low-scale quantum gravity and large extra dimensions.