2024/11/22 by Johannes Aastrup, Aastrup, Johannes, Jesper Møller Grimstrup +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2501.00005
openalex publication_date 2024/11/22 · openalex created_date 2025/01/04 · openalex updated_date 2026/07/28
Starting with a Dirac operator on a configuration space of SU(2) gauge connections we consider its fluctuations with inner automorphisms. We show that a certain type of twisted inner fluctuations leads to a Dirac operator whose square gives the Hamiltonian of Yang-Mills quantum field theory coupled to a fermionic sector that consist of one-form fermions. We then show that if a metric exists on the underlying three-dimensional manifold then there exists a change of basis of the configuration space for which the transformed fermionic sector consists of fermions that are no-longer one-forms.