Reconstruction of SU(5) Grand Unified Model In Noncommutative Geometry Approach
Abstract
Based on the generalized gauge theory on M4× Z2× Z3, we reconstructed the realistic SU(5) Grand Unified model by a suitable assignment of fermion fields. The action of group elements Z2 on fermion fields is the charge conjugation while the action of Z3 elements represent generation translation. We find that to fit the spontaneous symmetry breaking and gauge hierarchy of SU(5) model a linear term of curvature has to be introduced. A new mass relation is obtained in our reconstructed model.
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