Asymptotically safe gravity

TL;DR

This paper introduces the concept of asymptotically safe quantum gravity, discussing its theoretical framework, key results, and implications for gravity-matter models, aiming to address predictivity issues in quantum gravity.

Contribution

It provides a comprehensive overview of asymptotic safety in quantum gravity, including the functional Renormalization Group approach and its potential connections to other quantum gravity theories.

Findings

Identification of an asymptotically safe fixed point in gravity

Observational consistency tests via gravity-matter interactions

Discussion of effective asymptotic safety scenarios

Abstract

This is an introduction to asymptotically safe quantum gravity, explaining the main idea of asymptotic safety and how it could solve the problem of predictivity in quantum gravity. In the first part, the concept of an asymptotically safe fixed point is discussed within the functional Renormalization Group framework for gravity, which is also briefly reviewed. A concise overview of key results on asymptotically safe gravity is followed by a short discussion of important open questions. The second part highlights how the interplay with matter provides observational consistency tests for all quantum-gravity models, followed by an overview of the state of results on asymptotic safety and its implications in gravity-matter models. Finally, effective asymptotic safety is briefly discussed as a scenario in which asymptotically safe gravity could be connected to other approaches to quantum gravity.