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 …

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 study the optimization of exact renormalization group (ERG) flows. We explain why the
convergence of approximate solutions towards the physical theory is optimized by …

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 …

We critically review the use of the exact renormalization group equations (ERGE) in the
framework of the scalar theory. We lay emphasis on the existence of different versions of the …

We provide analytical arguments showing that the “nonperturbative” approximation scheme
to Wilson's renormalization group known as the derivative expansion has a finite radius of …

These introductory notes are about functional renormalization group equations and some of
their applications. It is emphasised that the applicability of this method extends well beyond …

Great effort is presently being expended in the search for elementary scalar “Higgs”
particles. These particles have yet to be observed. The primary justification for this search is …

Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

Within the exact renormalisation group, the scaling solutions for O (N) symmetric scalar field
theories are studied to leading order in the derivative expansion. The Gaussian fixed point is …