EPJ

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EPJ C - Particles and Fields
Particles and Fields
Eur. Phys. J. C 1, 721-728

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: lijm@itp.ac.cn)
2 Department of Physics, Peking University, Beijing 100871, People's Republic of China

Received: 12 January 1997 / Revised version: 9 May 1997

Abstract
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 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.

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