Reconstruction of SU(5) grand unified model in noncommutative geometry approach
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Based on a generalized gauge theory on \(M^4\times Z_2\times Z_3\), 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.
KeywordsGauge Theory Symmetry Breaking Linear Term Unify Model Group Element
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