12 citations · 29 across the 12 of their papers we have counts for
4 papers · 1 filter
Power counting in the spectral action matrix model
Eva-Maria Hekkelman, Teun D. H. van Nuland, Jesse Reimann
We derive power counting formulas for ribbon graph amplitudes that were recently independently discovered in two contexts, namely as a generalization of the Kontsevich model, and a…
The basic resolvents of position and momentum operators form a total set in the resolvent algebra
Detlev Buchholz, Teun D. H. van Nuland
Let Q and P be the position and momentum operators of a particle in one dimension. It is shown that all compact operators can be approximated in norm by linear combinations of the…
C*-algebraic results in the search for quantum gauge fields
Teun D. H. van Nuland
This thesis consists of two parts, both situated in operator theory, and both motivated by the quest for rigorous quantizations of gauge theories. The first part is based on [Skrip…
Strict deformation quantization of abelian lattice gauge fields
T. D. H. van Nuland
This paper shows how to construct classical and quantum field C*-algebras modeling a -gauge theory in any dimension using a novel approach to lattice gauge theory, while si…