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 many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

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 …

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 …

We give in these notes a short presentation of both the main ideas underlying Wilson's
renormalization group (RG) and their concrete implementation under the form of what is now …

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 …

We use the Gross-Neveu model in 2< d< 4 as a simple fermionic example for Weinberg's
asymptotic safety scenario: despite being perturbatively nonrenormalizable, the model …

In view of its physical importance in predicting the order of chiral phase transitions in QCD
and frustrated spin systems, we perform the conformal bootstrap program of [O (n)× O (2)] …

We determine a previously unknown universal quantity, the location of the Yang-Lee edge
singularity for the O (N) theories in a wide range of N and various dimensions. At large N, we …

Nonthermal fixed points represent basic properties of quantum field theories, in addition to
vacuum or thermal equilibrium fixed points. The functional renormalization group on a …