A geometric basis for the standard-model gauge group

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dc.creatorTrayling, Greg
dc.creatorBaylis, W. E.
dc.date2001-03-17
dc.date2001-03-26
dc.date.accessioned2026-07-07T10:53:32Z
dc.date.available2026-07-07T10:53:32Z
dc.descriptionA geometric approach to the standard model in terms of the Clifford algebra Cl_7 is advanced. A key feature of the model is its use of an algebraic spinor for one generation of leptons and quarks. Spinor transformations separate into left-sided ("exterior") and right-sided ("interior") types. By definition, Poincare transformations are exterior ones. We consider all rotations in the seven-dimensional space that (1) conserve the spacetime components of the particle and antiparticle currents and (2) do not couple the right-chiral neutrino. These rotations comprise additional exterior transformations that commute with the Poincare group and form the group SU(2)_L, interior ones that constitute SU(3)_C, and a unique group of coupled double-sided rotations with U(1)_Y symmetry. The spinor mediates a physical coupling of Poincare and isotopic symmetries within the restrictions of the Coleman--Mandula theorem. The four extra spacelike dimensions in the model form a basis for the Higgs isodoublet field, whose symmetry requires the chirality of SU(2). The charge assignments of both the fundamental fermions and the Higgs boson are produced exactly.
dc.description17 pages, LaTeX requires iopart. Accepted for publication in J. Phys. A: Math. Gen. 9 Mar 2001. Typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0103137
dc.identifierhttp://arxiv.org/abs/hep-th/0103137
dc.identifierJ.Phys.A34:3309-3324,2001; Int.J.Mod.Phys.A16S1C:909-912,2001
dc.identifierdoi:10.1088/0305-4470/34/15/309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185515
dc.subjectHigh Energy Physics - Theory
dc.titleA geometric basis for the standard-model gauge group
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