SO(10) Grand Unified Theory in Non-Commutative Differential Geometry on the Discrete Space M_4×Z_N : Particles and Fields
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概要
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SO(10) grand unified theory (GUT) is reconstructed using the generalized differential calculus extended on the discrete space M_4×Z_N, which was previously proposed by the present author. The standard model, SU(5) GUT and the left-right symmetric gauge theory have already been reconstructed according to this formalism in which the unified picture of the gauge field and Higgs field as the generalized connection in non-commutative geometry is realized. Four sheets (N=4) are prepared for the reconstruction of SO(10) GUT in which Higgs fields responsible for symmetry breakdowns are placed separately in the generalized gauge field on the discrete space. The seesaw mechanism is well incorporated to give the Majorana mass to the right-handed neutrino, and up and down quarks acquire different masses, respectively. The detailed investigation of the Higgs potential and interacting terms with complicated forms will be performed in the future.
- 理論物理学刊行会の論文
- 1995-10-25
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