We review the use of an exact renormalization group equation in quantum field theory and
statistical physics. It describes the dependence of the free energy on an infrared cutoff for 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 use the conformal bootstrap to perform a precision study of the operator spectrum of the
critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central …

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 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 …

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 …

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 …

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 …

This lecture covers some of the advances that underpin recent progress in deriving
continuum solutions from the exact renormalization group. We concentrate on concepts and …

A bstract Within the context of the functional renormalization group flow of gravity, we
suggest that a generic f (R) ansatz (ie not truncated to any specific form, polynomial or not) …