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 …

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 …

We discuss the phase structure of QCD for N f= 2 and N f= 2+ 1 dynamical quark flavors at
finite temperature and baryon chemical potential. It emerges dynamically from the …

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 …

The last decade has seen a marked shift in how the internal structure of hadrons is
understood. Modern experimental facilities, new theoretical techniques for the continuum …

The dynamics of the QCD gauge sector give rise to non-perturbative phenomena that are
crucial for the internal consistency of the theory; most notably, they account for the …

We review the spectrum and electromagnetic properties of baryons described as relativistic
three-quark bound states within QCD. The composite nature of baryons results in a rich …

We investigate Landau gauge SU (3) Yang-Mills theory in a systematic vertex expansion
scheme for the effective action with the functional renormalization group. Particular focus is …

We discuss the QCD phase structure at finite temperature and chemical potential for 2-flavor
and 2+ 1-flavor QCD. The results are achieved by computing QCD correlation functions …

In this paper, we present an overview on recent progress in studies of QCD at finite
temperature and densities within the functional renormalization group (fRG) approach. The …