117 citations · 190 across the 5 of their papers we have counts for
5 papers
Curvature of differentiable Hilbert modules and Kasparov modules
Bram Mesland, Adam Rennie, Walter D. van Suijlekom
In this paper we introduce the curvature of densely defined universal connections on Hilbert -modules relative to a spectral triple (or unbounded Kasparov module), obtaining…
Second Quantization and the Spectral Action
Rui Dong, Masoud Khalkhali, Walter D. van Suijlekom
We consider both the bosonic and fermionic second quantization of spectral triples in the presence of a chemical potential. We show that the von Neumann entropy and the average ene…
Renormalization Hopf algebras for gauge theories and BRST-symmetries
Walter D. van Suijlekom
The structure of the Connes-Kreimer renormalization Hopf algebra is studied for gauge theories, with particular emphasis on the BRST-formalism. We work in the explicit example of q…
Recursive relations in the core Hopf algebra
Dirk Kreimer, Walter D. van Suijlekom
We study co-ideals in the core Hopf algebra underlying a quantum field theory.
Renormalization of gauge fields: A Hopf algebra approach
Walter D. van Suijlekom
We study the Connes-Kreimer Hopf algebra of renormalization in the case of gauge theories. We show that the Ward identities and the Slavnov-Taylor identities (in the abelian and no…