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 …

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 …

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 …

Asymptotic safety guaranteed

DF Litim, F Sannino - Journal of High Energy Physics, 2014 - Springer
A bstract We study the ultraviolet behaviour of four-dimensional quantum field theories
involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime …

Fermion interactions and universal behavior in strongly interacting theories

J Braun - Journal of Physics G: Nuclear and Particle Physics, 2012 - iopscience.iop.org
The theory of the strong interaction, quantum chromodynamics (QCD), describes the
generation of hadronic masses and the state of hadronic matter during the early stages of …

Aspects of asymptotic safety for quantum gravity

KG Falls, DF Litim, J Schröder - Physical Review D, 2019 - APS
We study fixed points of quantum gravity with renormalization group methods and a
procedure to remove convergence-limiting poles from the flow. The setup is tested within the …

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 …

Upper bound on the Abelian gauge coupling from asymptotic safety

A Eichhorn, F Versteegen - Journal of High Energy Physics, 2018 - Springer
A bstract We explore the impact of asymptotically safe quantum gravity on the Abelian gauge
coupling in a model including a charged scalar, confirming indications that asymptotically …

Absence of inhomogeneous chiral phases in ()-dimensional four-fermion and Yukawa models

L Pannullo, M Winstel - Physical Review D, 2023 - APS
We show the absence of an instability of homogeneous (chiral) condensates against
spatially inhomogeneous perturbations for various (2+ 1)-dimensional four-fermion and …

Viability of quantum-gravity induced ultraviolet completions for matter

A Eichhorn, A Held - Physical Review D, 2017 - APS
We highlight how the existence of an ultraviolet completion for interacting standard-model
type matter puts constraints on the viable microscopic dynamics of asymptotically safe …