Renormalization group in abstract QFT

On Renormalization Group in Abstract QFT

The basics of RG equations for generic partition functions are briefly reviewed, keeping in mind an application to the Polyakov-de Boer-Verlindes description of the holomorphic RG flow. 1 RG versus (generalized) Laplace equations The notion and properties of the (generalized) renormalization group (RG) [1, 2, 3] acquire a new attention last years, primarily because of the interest to its hidden...

Renormalization Group Renormalization Group

Non Relativistic Limit in QFT: a Wilson Renormalization Group Approach in the Minkowski Space

We study the non relativistic limit of a model of fermions interacting through a Chern-Simons eld, from a perspective that resembles the Wilson Renormalization Group (WRG) approach. The main di erence of our approach to WRG is that instead of working in the Euclidean space, we directly work in Minkowski space. For the nonrelativistic limit this procedure admits a more direct interpretation of t...

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

Why Padé Approximants reduce the Renormalization-Scale dependence in QFT?

We prove that in the limit where the β function is dominated by the 1-loop contribution (“large β0 limit”) diagonal Padé Approximants (PA’s) of perturbative series become exactly renormalization scale (RS) independent. This symmetry suggest that diagonal PA’s are resumming correctly contributions from higher order diagrams that are responsible for the renormalization of the coupling-constant. N...