Authors

Greg Trayling

Abstract

Also archived at: arXiv:hep-th/9912231 v1 22 Dec 1999 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. (Refer to PDF file for exact formulas.)

Publication Date

6-26-2006

Comments

This work was supported by the Natural Sciences and Engineering Research Council of Canada.

Document Type

Article

Department, Program, or Center

School of Physics and Astronomy (COS)

Campus

RIT – Main Campus

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