Color algebra of three quarks

Journal Article · Mon Jan 14 23:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.466· OSTI ID:5635141

Lee, S

The color algebra with the outer product (u,v)/sup A/=if/sup A/BC(u/sup B/v/sup C/+v/sup C/u/sup B/) 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) direct-sum u(2). The Jacobi identity is not satisfied on the whole algebra. The quantity that measures the breakdown of the Jacobi identity is calculated.

• Research Organization: Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
• OSTI ID: 5635141
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
CLASSICAL MECHANICS
COLOR MODEL
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MATHEMATICS
MECHANICS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
QUARKS