57 citations · 94 across the 14 of their papers we have counts for
5 papers · 1 filter
Hamilton-Jacobi Equation and the Tree Formula for Proper Vertices
Christian Wieczerkowski
The tree formula, which relates proper and connected vertices, is shown to be the solution to a Hamilton-Jacobi equation.
Rigorous control of the non-perturbative corrections to the double expansion in and for the -trajectory in the hierarchical approximation
Christian Wieczerkowski
We study the renormalization invariant trajectory of the -perturbation of the free field fixed point in the hierarchical approximation. We parametrize it by a running -co…
The Hierarchical - Trajectory by Perturbation Theory in a Running Coupling and its Logarithm
J. Rolf, C. Wieczerkowski
We compute the hierarchical -trajectory in terms of perturbation theory in a running coupling. In the three dimensional case we resolve a singularity due to resonance of power…
Perfect observables for the hierarchical non-linear -invariant -model
C. Wieczerkowski, Y. Xylander
We compute moving eigenvalues and the eigenvectors of the linear renormalization group transformation for observables along the renormalized trajectory of the hierarchical non-line…
Nonassociative Algebras and Nonperturbative Field Theory for Hierarchical Models
A. Pordt, C. Wieczerkowski
Hierarchical renormalization group (RG) transformations are related to nonassociative algebras. These algebras serve as a new basic tool for a rigorous treatment of global RG flows…