Reconstruction of SU(5) grand unified model in noncommutative geometry approach

Jianming Li; Xingchang Song

doi:doi:10.1007/s100520050117

EPJ

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2020 Impact factor 4.590

Particles and Fields

Eur. Phys. J. C 1, 721-728

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 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.