The nonperturbative functional renormalization group and its applications

N Dupuis, L Canet, A Eichhorn, W Metzner… - Physics Reports, 2021 - Elsevier
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

[HTML][HTML] Critical reflections on asymptotically safe gravity

A Bonanno, A Eichhorn, H Gies, JM Pawlowski… - Frontiers in …, 2020 - frontiersin.org
Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field
theories, in particular for quantum gravity. Significant progress on this program has led to a …

[HTML][HTML] An asymptotically safe guide to quantum gravity and matter

A Eichhorn - Frontiers in Astronomy and Space Sciences, 2019 - frontiersin.org
Asymptotic safety generalizes asymptotic freedom and could contribute to understanding
physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet …

[HTML][HTML] Quantum gravity: a fluctuating point of view

JM Pawlowski, M Reichert - Frontiers in Physics, 2021 - frontiersin.org
In this contribution, we discuss the asymptotic safety scenario for quantum gravity with a
functional renormalization group approach that disentangles dynamical metric fluctuations …

Further evidence for asymptotic safety of quantum gravity

K Falls, D Litim, K Nikolakopoulos, C Rahmede - Physical Review D, 2016 - APS
The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using
the renormalization group, we find evidence for an interacting UV fixed point for polynomial …

Gravitational two-loop counterterm is asymptotically safe

H Gies, B Knorr, S Lippoldt, F Saueressig - Physical Review Letters, 2016 - APS
Weinberg's asymptotic safety scenario provides an elegant mechanism to construct a
quantum theory of gravity within the framework of quantum field theory based on a non …

Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox

B Knorr, C Ripken, F Saueressig - Classical and Quantum Gravity, 2019 - iopscience.iop.org
Over the last years the asymptotic safety program has matured into a serious candidate for a
quantum theory of gravity compatible with observations. The rapid technical progress in …

[HTML][HTML] Towards apparent convergence in asymptotically safe quantum gravity

T Denz, JM Pawlowski, M Reichert - The European Physical Journal C, 2018 - Springer
The asymptotic safety scenario in gravity is accessed within the systematic vertex expansion
scheme for functional renormalisation group flows put forward in Christiansen et al.(Phys …

Asymptotic safety of gravity-matter systems

J Meibohm, JM Pawlowski, M Reichert - Physical Review D, 2016 - APS
We study the ultraviolet stability of gravity-matter systems for general numbers of minimally
coupled scalars and fermions. This is done within the functional renormalization group setup …

Constraining power of asymptotic safety for scalar fields

A Eichhorn, M Pauly - Physical Review D, 2021 - APS
We explore the phenomenology of scalar fields coupled to asymptotically safe quantum
gravity, in light of their potential significance for dark matter, for the inflaton as well as …