Quaternion-Octonion SU(3) Flavor Symmetry

O. P. S. Negi; P. S. Bisht; Pushpa; Tianjun Li

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Quaternion-Octonion SU(3) Flavor Symmetry

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arxiv 1107.1559 v1 pith:LL64MBWP submitted 2011-07-08 physics.gen-ph

Pushpa , P. S. Bisht , Tianjun Li , O. P. S. Negi This is my paper · ORCID

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Starting with the quaternionic formulation of isospin SU(2) group, we have derived the relations for different components of isospin with quark states. Extending this formalism to the case of SU(3) group we have considered the theory of octonion variables. Accordingly, the octonion splitting of SU(3) group have been reconsidered and various commutation relations for SU(3) group and its shift operators are also derived and verified for different iso-spin multiplets i.e. I, U and V- spins. Keywords: SU(3), Quaternions, Octonions and Gell Mann matrices PACS NO: 11.30.Hv: Flavor symmetries; 12.10-Dm: Unified field theories and models of strong and electroweak interactions

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