Color-charge algebras in Adler's chromodynamics

Journal Article · Tue Nov 14 23:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.3881· OSTI ID:6499650

Cvitanovic, P; Gonsalves, R J; Neville, D E

We show that the color-charge algebra in the three-quark sector generated by the matrices of the fundamental representation of U(n) does not have the trace properties required in Adler's extension of chromodynamics. We also discuss a diagrammatic representation of algebras generated by quark and antiquark charges in general, and an embedding of the N-quark algebra in the symmetric group S/sub N/+1.

• Research Organization: The Institute for Advanced Study, Princeton, New Jersey 08540
• OSTI ID: 6499650
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMMUTATION RELATIONS
COMPOSITE MODELS
CURRENT ALGEBRA
ELEMENTARY PARTICLES
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SU GROUPS
SYMMETRY GROUPS
U GROUPS