Status of the asymptotic safety paradigm for quantum gravity and matter

TL;DR

This paper reviews the current status of the asymptotic safety approach in quantum gravity, emphasizing its potential to provide a consistent ultraviolet completion for the Standard Model through quantum scale invariance.

Contribution

It summarizes recent evidence and developments supporting asymptotic safety in quantum gravity and its implications for particle physics.

Findings

Hints from functional Renormalization Group applications support asymptotic safety.

Asymptotic safety could unify quantum gravity and the Standard Model.

Quantum fluctuations may induce a predictive ultraviolet completion for particle physics.

Abstract

In the asymptotic safety paradigm, a quantum field theory reaches a regime with quantum scale invariance in the ultraviolet, which is described by an interacting fixed point of the Renormalization Group. Compelling hints for the viability of asymptotic safety in quantum gravity exist, mainly obtained from applications of the functional Renormalization Group. The impact of asymptotically safe quantum fluctuations of gravity at and beyond the Planck scale could at the same time induce an ultraviolet completion for the Standard Model of particle physics with high predictive power.