A Geometric Approach to the Standard Model

Details A Geometric Approach to the Standard Model A Geometric Approach to the Standard Model

1999-12-22

arxiv.org/abs/hep-th/9912231v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 4 tables

Scientific paper

A geometric approach to the standard model in terms of the Clifford algebra $% C\ell_{7}$ is advanced. The gauge symmetries and charge assignments of the fundamental fermions are seen to arise from a simple geometric model involving extra space-like dimensions. The bare coupling constants are found to obey $g_{s}/g=1$ and $g^{\prime}/g=\sqrt{3/5}$, consistent with SU(5) grand unification but without invoking the notion of master groups. In constructing the Lagrangian density terms, it is found that the Higgs isodoublet field emerges in a natural manner. A matrix representation of $% C\ell_{7}$ is included as a computational aid.

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