Asymptotic Safety, Emergence and Minimal Length

TL;DR

This paper argues that asymptotic safety in quantum gravity can lead to emergent gravitational properties and imply a minimal length scale, challenging the view that these concepts are incompatible.

Contribution

It demonstrates that asymptotic safety can be connected to emergence and minimal length, providing new insights into quantum gravity and potential experimental signatures.

Findings

Existence of a fixed point suggests emergent gravity properties

Asymptotic safety implies a minimal length scale

Potential signatures in scattering experiments

Abstract

There seems to be a common prejudice that asymptotic safety is either incompatible with, or at best unrelated to, the other topics in the title. This is not the case. In fact, we show that 1) the existence of a fixed point with suitable properties is a promising way of deriving emergent properties of gravity, and 2) there is a sense in which asymptotic safety implies a minimal length. In so doing we also discuss possible signatures of asymptotic safety in scattering experiments.