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math-ph2024
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…
math-ph2018
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…
math-ph2017
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…