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High Energy Physics - Theory

Title: Quaternionic Spin

Abstract: We rewrite the standard 4-dimensional Dirac equation in terms of quaternionic 2-component spinors, leading to a formalism which treats both massive and massless particles on an equal footing. The resulting unified description has the correct particle spectrum to be a generation of leptons, with the correct number of spin/helicity states. Furthermore, precisely three such generations naturally combine into an octonionic description of the 10-dimensional massless Dirac equation, as discussed in previous work.
Comments: LaTeX2e, 15 pages, 1 PS figure; to appear in Clifford '99 proceedings
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:hep-th/9910010
  (or arXiv:hep-th/9910010v2 for this version)

Submission history

From: Tevian Dray [view email]
[v1] Fri, 1 Oct 1999 16:42:08 GMT (14kb)
[v2] Mon, 4 Oct 1999 15:00:22 GMT (15kb)