Color algebra of three quarks

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Abstract

The color algebra with the outer product [u,v]A=ifABC(uBvC+vCuB) is studied for the case of three-quark sources. It is shown to contain two Abelian elements which annihilate the color-singlet state and a sixteen-element ideal which contains an eight-element subalgebra isomorphic to u(2) (2). The Jacobi identity is not satisfied on the whole algebra. The quantity that measures the breakdown of the Jacobi identity is calculated.

Original languageEnglish
Pages (from-to)466-470
Number of pages5
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume21
Issue number2
DOIs
StatePublished - 1980

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