Reconstruction of SU(5) grand unified model
in noncommutative geometry approach
Jianming Li1,2 - Xingchang Song1,2
1 CCAST (World Lab), Beijing 100080, People's Republic of China (e-mail:
2 Department of Physics, Peking University, Beijing 100871, People's Republic of China
Received: 12 January 1997 / Revised version: 9 May 1997
Based on a generalized gauge theory on , we reconstruct 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, and the action of Z3 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.