Scaling solutions for asymptotically free quantum gravity

TL;DR

This paper investigates scaling solutions in quantum gravity that connect the ultraviolet fixed point to the infrared region, supporting the viability of asymptotic freedom as an alternative to asymptotic safety.

Contribution

It computes new scaling solutions in a general four-derivative truncation, demonstrating the potential for asymptotic freedom in quantum gravity.

Findings

Scaling solutions connect UV fixed point to IR region.

Asymptotic freedom may be a viable quantum gravity scenario.

Supports the existence of a renormalizable quantum gravity theory.

Abstract

We compute scaling solutions of functional flow equations for quantum gravity in a general truncation with up to four derivatives of the metric. They connect the asymptotically free ultraviolet fixed point, which is accessible to perturbation theory, to the non-perturbative infrared region. The existence of such scaling solutions is necessary for a renormalizable quantum field theory of gravity. If the proposed scaling solution is confirmed beyond our approximations asymptotic freedom is a viable alternative to asymptotic safety for quantum gravity.