Generalized scale behavior and renormalization group for data analysis

Generalized numerical renormalization group for dynamical quantities

In this paper we introduce a new approach for calculating dynamical properties within the numerical renormalization group. It is demonstrated that the method previously used fails for the Anderson impurity in a magnetic field due to the absence of energy scale separation. The problem is solved by evaluating the Green function with respect to the reduced density matrix of the full system, leadin...

Renormalization group and the Planck scale.

I discuss the renormalization group approach to gravity, and its link to Weinberg's asymptotic safety scenario, and give an overview of results with applications to particle physics and cosmology.

A NUMERICAL RENORMALIZATION GROUP APPROACH FOR AN ELECTRON-PHONON INTERACTION

A finite chain calculation in terms of Hubbard X-operators is explored by setting up a vibronic Harniltonian. The model conveniently transformed into a form so that in the case of strong coupling a numerical renormalization group approach is applicable. To test the technique, a one particle Green function is calculated for the model Harniltonian

Renormalization Group Approach to Generalized Cosmological models

It is widely accepted that Einstein’s general theory of relativity is an effective four-dimensional theory at lower energies and that it needs modifications at high energies. In the cosmological context, this break down of the theory results in a modification of the Friedmann equation with important consequences in the dynamical evolution at early times (see for example, [1, 2]). There has been...

Renormalization Group Renormalization Group