4 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…