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- W2070348532 abstract "It is shown how the formalism of 8 × 8 Dirac matrices can be extended to include all the groups so far proposed as relevant to elementary-particle charge symmetries: R4, R7, G2, SU3. These are all treated as subgroups of R8, which appears to determine the eightfold structure of the particle families, even before the particle interactions are ``switched on''. Since these subgroups of R8 are incompatible, they will lead to a ``clash of symmetries'', as observed experimentally. It is pointed out that if the plausible association is made between real and charge-space statistics in representations of R8, the group SU3 satisfies charge-conjugation invariance for 3-boson interactions but not for two-fermion-one-boson interactions. An argument is given that the representations 8 and 8̄ of SU3 plus the representations (7 + 1) of G2 and R7 completely span the symmetries obeying the limited invariance implied by conservation of isotopic spin I and hypercharge Y." @default.
- W2070348532 created "2016-06-24" @default.
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- W2070348532 date "1963-07-01" @default.
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- W2070348532 title "Particle Charge Symmetries as <i>R</i>8 Subgroups" @default.
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- W2070348532 doi "https://doi.org/10.1063/1.1704017" @default.
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