Reconstruction of SU(5) Grand Unified Model In Noncommutative Geometry Approach

Details Reconstruction of SU(5) Grand Unified Model In Noncommutative Geometry Approach Reconstruction of SU(5) Grand Unified Model In Noncommutative Geometry Approach

1996-11-12

arxiv.org/abs/hep-th/9611080v1

Eur.Phys.J.C1:721-728,1998

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex

Scientific paper

10.1007/s100520050117

Based on the generalized gauge theory on $M^4\times Z_2\times Z_3$, we reconstructed 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 while the action of $Z_3$ elements represent generation translation. We find that to fit the spontaneous symmetry breaking and gauge hierarchy of SU(5) model a linear term of curvature has to be introduced. A new mass relation is obtained in our reconstructed model.

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