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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 1 Issue 3/4 (1998) pp 721-728
theoretical physics:
Reconstruction of SU(5) grand unified model in noncommutative geometry approach
Jianming Li (1)(2), Xingchang Song (1)(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 $Z_2$ 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.
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Online publication: February 5, 1998
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