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Algebra of color

Journal Article · · J. Math. Phys. (N.Y.); (United States)
DOI:https://doi.org/10.1063/1.523815· OSTI ID:7286451

We construct an algebra of (local) dynamical variables which satisfies the triality rule for quarks and an exact superselection rule between leptons and quarks. This algebra is isomorphic to a noncommutative Jordan algebra; hence, it is power associative. Inner derivations are constructed explicitly: Their algebra is isomorphic to Lie SU(3); the latter can be identified with the group of color symmetry.

Research Organization:
Department of Physics, The Johns Hopkins University, Baltimore, Maryland 21218
OSTI ID:
7286451
Journal Information:
J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:6; ISSN JMAPA
Country of Publication:
United States
Language:
English

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