30 citations · 167 across the 27 of their papers we have counts for
31 papers
On the emergence of an almost-commutative spectral triple from a geometric construction on a configuration space
Johannes Aastrup, Jesper M. Grimstrup
We show that the structure of an almost-commutative spectral triple emerges in a semi-classical limit from a geometric construction on a configuration space of gauge connections. T…
A Yang-Mills-Dirac Quantum Field Theory Emerging From a Dirac Operator on a Configuration Space
Johannes Aastrup, Jesper M. Grimstrup
Starting with a Dirac operator on a configuration space of gauge connections we consider its fluctuations with inner automorphisms. We show that a certain type of twisted i…
Dirac Operators on Configuration Spaces: Fermions with Half-integer Spin, Real Structure, and Yang-Mills Quantum Field Theory
Johannes Aastrup, Jesper M. Grimstrup
In this paper we continue the development of a spectral triple-like construction on a configuration space of gauge connections. We have previously shown that key elements of bosoni…
Dirac Operators on Configuration Spaces and Yang-Mills Quantum Field Theory
Johannes Aastrup, Jesper M. Grimstrup
In this paper we discuss a connection between Dirac operators on configuration spaces and Yang-Mills quantum field theory. We first show that the Hamilton operators of the self-dua…
Constructing spectral triples over holonomy-diffeomorphisms and the problem of reconciling general relativity with quantum field theory
Johannes Aastrup, Jesper M. Grimstrup
In this paper we construct a candidate for a spectral triple on a quotient space of gauge connections modulo gauge transformations and show that it is related to a Kasparov type bi…
The Metric Nature of Matter
Johannes Aastrup, Jesper M. Grimstrup
We construct a metric structure on a configuration space of gauge connections and show that it naturally produces a candidate for a non-perturbative, 3+1 dimensional Yang-Mills-Dir…