A twisted inner fluctuation of a Dirac operator on the configuration space of SU(2) connections yields the Yang-Mills Hamiltonian plus a fermionic Dirac Hamiltonian after a change of basis.
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A Yang-Mills-Dirac Quantum Field Theory Emerging From a Dirac Operator on a Configuration Space
A twisted inner fluctuation of a Dirac operator on the configuration space of SU(2) connections yields the Yang-Mills Hamiltonian plus a fermionic Dirac Hamiltonian after a change of basis.