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 , 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.
Copyright Springer-Verlag