Reconstruction of SU(5) grand unified model in noncommutative geometry approach

Based on a generalized gauge theory on M-4 x Z(2) x Z(3), we reconstruct the realistic SU(5) grand unified model by a suitable assignment of fermion fields. The action of group elements Z(2) On fermion fields is the charge conjugation, and the action of Z(3) elements represent generation translation. We find that a linear term of curvature has to be introduced to accommodate the spontaneous symmetry breaking and gauge hierarchy of the SU(5) model. A new mass relation is obtained in our reconstructed model.Physics, Particles & FieldsSCI(E)1ARTICLE3-4721-728