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 …

Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon
lowering the energy scale, collective phenomena, bound states, and new effective degrees …

This report addresses topics and questions of common interest in the fields of ultra-cold
gases and nuclear physics in the context of the BCS–BEC crossover. By this crossover, the …

This book, based on a graduate course given by the authors, is a pedagogic and self-
contained introduction to the renormalization group with special emphasis on the functional …

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 …

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 …

A light impurity in a Fermi sea undergoes a transition from a polaron to a molecule for
increasing interaction. We develop a method to compute the spectral functions of the …

We present a reformulation of the functional renormalization group (fRG) for many-electron
systems, which relies on the recently introduced single-boson exchange (SBE) …

We consider imbalanced Fermi gases with strong attractive interactions, for which Cooper-
pair formation plays an important role. The two-component mixtures consist either of …

Abstract The Renormalisation Group is a versatile tool for the study of many systems where
scale-dependent behaviour is important. Its functional formulation can be cast into the form …