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 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 …

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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 …

This article reviews recent advances in the theory of the three-dimensional dilute
homogeneous Bose gas at zero and finite temperature. Effective-field-theory methods are …

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 …

On the example of the three-dimensional Ising model, we show that nonperturbative
renormalization group equations allow one to obtain very accurate critical exponents …

This article is devoted to the study of the critical properties of classical XY and Heisenberg
frustrated magnets in three dimensions. We first analyze the experimental and numerical …

We compute the critical exponents ν, η and ω of O (N) models for various values of N by
implementing the derivative expansion of the nonperturbative renormalization group up to …