On fixed points of quantum gravity

TL;DR

This paper investigates the behavior of Euclidean quantum gravity at short distances, focusing on the existence of a non-trivial ultraviolet fixed point and its implications across different dimensions within the asymptotic safety framework.

Contribution

It provides analytical flow equations in the Einstein-Hilbert truncation and demonstrates the presence of a non-trivial UV fixed point in arbitrary dimensions.

Findings

Identifies a non-trivial ultraviolet fixed point for quantum gravity.

Discovers a bifurcation pattern in the spectrum of eigenvalues at criticality.

Explores the large dimensional limit of quantum gravity.

Abstract

We study the short distance behaviour of euclidean quantum gravity in the light of Weinberg's asymptotic safety scenario. Implications of a non-trivial ultraviolet fixed point are reviewed. Based on an optimised renormalisation group, we provide analytical flow equations in the Einstein-Hilbert truncation. A non-trivial ultraviolet fixed point is found for arbitrary dimension. We discuss a bifurcation pattern in the spectrum of eigenvalues at criticality, and the large dimensional limit of quantum gravity. Implications for quantum gravity in higher dimensions are indicated.