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 …

The QCD running coupling

A Deur, SJ Brodsky, GF de Teramond - Progress in Particle and Nuclear …, 2016 - Elsevier
We review the present theoretical and empirical knowledge for α s, the fundamental
coupling underlying the interactions of quarks and gluons in Quantum Chromodynamics …

QCD running couplings and effective charges

A Deur, SJ Brodsky, CD Roberts - Progress in Particle and Nuclear Physics, 2024 - Elsevier
We discuss our present knowledge of α s, the fundamental running coupling or effective
charge of Quantum Chromodynamics (QCD). A precise understanding of the running of α s …

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 …

Aspects of the functional renormalisation group

JM Pawlowski - Annals of Physics, 2007 - Elsevier
We discuss structural aspects of the functional renormalisation group. Flows for a general
class of correlation functions are derived, and it is shown how symmetry relations of the …

[BOOK][B] An introduction to covariant quantum gravity and asymptotic safety

R Percacci - 2017 - books.google.com
This book covers recent developments in the covariant formulation of quantum gravity.
Developed in the 1960s by Feynman and DeWitt, by the 1980s this approach seemed to …

Introduction to the functional RG and applications to gauge theories

H Gies - Renormalization group and effective field theory …, 2012 - Springer
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Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation

A Codello, R Percacci, C Rahmede - Annals of Physics, 2009 - Elsevier
We review and extend in several directions recent results on the “asymptotic safety”
approach to quantum gravity. The central issue in this approach is the search of a Fixed …

Infrared properties of QCD from Dyson–Schwinger equations

CS Fischer - Journal of Physics G: Nuclear and Particle Physics, 2006 - iopscience.iop.org
I review recent results on the infrared properties of QCD from Dyson–Schwinger equations.
The topics include infrared exponents of one-particle irreducible Green's functions, the fixed …

Fixed points of quantum gravity

DF Litim - Physical review letters, 2004 - APS
Euclidean quantum gravity is studied with renormalization group methods. Analytical results
for a nontrivial ultraviolet fixed point are found for arbitrary dimensions and gauge fixing …