57 citations · 94 across the 14 of their papers we have counts for
14 papers
Positivity and Convergence in Fermionic Quantum Field Theory
Manfred Salmhofer, Christian Wieczerkowski
We derive norm bounds that imply the convergence of perturbation theory in fermionic quantum field theory if the propagator is summable and has a finite Gram constant. These bounds…
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…
Massless picture, massive picture, and symmetry in the Gaussian renormalization group
Christian Wieczerkowski
We consider renormalization groups of transformations composed of a Gaussian convolution and a field dilatation. As an example, we consider perturbations of a single component real…
Renormalized double expansion for the invariant -trajectory in three dimensions
Christian Wieczerkowski
We study the invariant unstable manifold of the trivial renormalization group fixed point tangent to the -vertex in three dimensions. We parametrize it by a running -…
The renormalized -trajectory by perturbation theory in a running coupling II: the continuous renormalization group
Christian Wieczerkowski
The renormalized trajectory of massless -theory on four dimensional Euclidean space-time is investigated as a renormalization group invariant curve in the center manifold of t…