C. Wieczerkowski

activity

19941998

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hep-lat1998

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.

hep-lat1998

Rigorous control of the non-perturbative corrections to the double expansion in $g$ and $g^{2} ln (g)$ for the $ϕ_{3}^{4}$ -trajectory in the hierarchical approximation

Christian Wieczerkowski

We study the renormalization invariant trajectory of the $ϕ^{4}$ -perturbation of the free field fixed point in the hierarchical approximation. We parametrize it by a running $ϕ^{4}$ -co…

hep-lat1995

Perfect observables for the hierarchical non-linear $O (N)$ -invariant $σ$ -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…

hep-lat1994

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…

Hamilton-Jacobi Equation and the Tree Formula for Proper Vertices

Rigorous control of the non-perturbative corrections to the double expansion in g and g2ln(g) for the ϕ34​-trajectory in the hierarchical approximation

Perfect observables for the hierarchical non-linear O(N)-invariant σ-model

Nonassociative Algebras and Nonperturbative Field Theory for Hierarchical Models

Rigorous control of the non-perturbative corrections to the double expansion in $g$ and $g^{2} ln (g)$ for the $ϕ_{3}^{4}$ -trajectory in the hierarchical approximation

Perfect observables for the hierarchical non-linear $O (N)$ -invariant $σ$ -model