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 …

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 …

Fundamentals of the exact renormalization group

OJ Rosten - Physics Reports, 2012 - Elsevier
Various aspects of the Exact Renormalization Group (ERG) are explored, starting with a
review of the concepts underpinning the framework and the circumstances under which it is …

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 …

Matter matters in asymptotically safe quantum gravity

P Donà, A Eichhorn, R Percacci - Physical Review D, 2014 - APS
We investigate the compatibility of minimally coupled scalar, fermion and gauge fields with
asymptotically safe quantum gravity, using nonperturbative functional renormalization group …

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 …

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 …

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 …

Renormalization group and the Planck scale

DF Litim - … Transactions of the Royal Society A …, 2011 - royalsocietypublishing.org
Renormalization group and the Planck scale | Philosophical Transactions of the Royal Society
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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 …