Abstract
A Lorentz-invariant gauge theory for massive fermions on R × S 3 spacetime is built up. Using the symmetry of S 3,we obtain Dirac-type equation and derive the expression of the fermionic propagator. Finally, starting from the SU(N) gauge-invariant Lagrangian, we obtain the set of Dirac-Yang-Mills equations on R × S 3 spacetime, pointing out major differences from the Minkowskian case.
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Dariescu, M.A., Dariescu, C. & Gottlieb, I. Gauge theory of fermions onR × S 3 spacetime. Found Phys 25, 959–963 (1995). https://doi.org/10.1007/BF02080571
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DOI: https://doi.org/10.1007/BF02080571