135 citations · 261 across the 6 of their papers we have counts for
15 papers · 1 filter
Progress in solving a noncommutative quantum field theory in four dimensions
Harald Grosse, Raimar Wulkenhaar
We study the noncommutative ϕ^4_4-quantum field theory at the self-duality point. This model is renormalisable to all orders as shown in earlier work of us and does not have a Land…
Non-compact spectral triples with finite volume
Raimar Wulkenhaar
In order to extend the spectral action principle to non-compact spaces, we propose a framework for spectral triples where the algebra may be non-unital but the resolvent of the Dir…
On the vacuum states for noncommutative gauge theory
Axel de Goursac, Jean-Christophe Wallet, Raimar Wulkenhaar
Candidates for renormalisable gauge theory models on Moyal spaces constructed recently have non trivial vacua. We show that these models support vacuum states that are invariant un…
Noncommutative Induced Gauge Theory
Axel de Goursac, Jean-Christophe Wallet, Raimar Wulkenhaar
We consider an external gauge potential minimally coupled to a renormalisable scalar theory on 4-dimensional Moyal space and compute in position space the one-loop Yang-Mills-type…
Quantum field theory on projective modules
V. Gayral, J. -H. Jureit, T. Krajewski +1
We propose a general formulation of perturbative quantum field theory on (finitely generated) projective modules over noncommutative algebras. This is the analogue of scalar field…
Renormalization of noncommutative phi 4-theory by multi-scale analysis
V. Rivasseau, F. Vignes-Tourneret, R. Wulkenhaar
In this paper we give a much more efficient proof that the real Euclidean phi 4-model on the four-dimensional Moyal plane is renormalizable to all orders. We prove rigorous bounds…