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Yang-Mills-Dirac Hamiltonian from Twisted Inner Fluctuations on Configuration Space

Deriving the full Hamiltonian of a Yang-Mills quantum field theory coupled to a fermionic sector by squaring a Dirac operator on the configuration space of SU(2) gauge connections after applying a twisted inner fluctuation.

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A Yang-Mills-Dirac Quantum Field Theory Emerging From a Dirac Operator on a Configuration Space

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 l…