In theoretical physics, the renormalization group (RG) is a formal apparatus that allows systematic investigation of the changes of a physical system as viewed at different scales.

The Renormalization Group (RG), via the concept of universality, will emerge as our quantum understanding of why it is possible to understand physics at all.

mathematical and non-perturbative foundation. This book presents a renormalisation group method, developed by the authors, which is appli-cable to the 4-dimensional n-component jjj4 spin system …

The renormalization group has played a crucial role in 20th century physics in two apparently unrelated domains: the theory of fundamental interac- tions at the microscopic scale and the theory...

On this page we’ll walk through a discrete, numerical application of RG to the Ising model. Iteratively transforming the model to larger and larger lattice sizes (lower and lower energies), we’ll find that it …

Nov 9, 2023 · Renormalization began as a tool to eliminate divergences in quantum electrodynamics, but it is now the basis of our understanding of physics at different energy scales. Here, I review its...

At very high energies, much greater than the quark masses, we can treat the mass terms as perturbative terms in the lagrangian, and study their renormalization and their evolution with scale.

May 28, 2025 · The Renormalization Group (RG) is a powerful mathematical framework used to study complex systems that exhibit scale-invariant behavior. The theory has its roots in statistical …

The Task for Renormalization Group (RG) Theory K. G. Wilson “Problems in physics with many scales of length,” Scientific American 241(2), 140 (1979) RG was developed to understand: why …

Renormalization is a collection of techniques in quantum field theory, statistical field theory, and the theory of self-similar geometric structures, that is used to treat infinities arising in calculated …