Abstract
The weak coupling limit of an Ising type model on the F4 lattice is examined. It is shown that by imposing some constraints on the Ising couplings, one can express the weak coupling limit as a multidimensional Berezin integral with local symmetries, We explore the possibility of deriving a fermion propagator by a self-consistent, Nambu-Jona-Lasinio type of calculation. We argue that at low energies this model describes Dirac fermions coupled to Yang-Mills fields.
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