30 citations · 167 across the 27 of their papers we have counts for
4 papers · 1 filter
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…
On the Fermionic Sector of Quantum Holonomy Theory
Johannes Aastrup, Jesper Møller Grimstrup
In this paper we continue the development of quantum holonomy theory, which is a candidate for a fundamental theory based on gauge fields and non-commutative geometry. The theory i…
Nonperturbative Quantum Field Theory and Noncommutative Geometry
Johannes Aastrup, Jesper M. Grimstrup
A general framework of non-perturbative quantum field theory on a curved background is presented. A quantum field theory is in this setting characterised by an embedding of a space…
Representations of the Quantum Holonomy-Diffeomorphism Algebra
Johannes Aastrup, Jesper M. Grimstrup
In this paper we continue the development of Quantum Holonomy Theory, which is a candidate for a fundamental theory, by constructing separable strongly continuous representations o…