Quark color algebra in Adler's chromostatics

Journal Article · Mon Oct 15 00:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.1951· OSTI ID:6002227

Lee, S

I study quark color charge algebras and investigate general outer products which satisfy the Jacobi identity and inner products which are consistent with the trace condition. The two-quark case is treated in detail. For three or more quarks, only two kinds of outer products are possible, neither of which satisfies the restricted trace condition in the simplest formulation of the color charge algebra. A three-copy theory is constructed so that the restricted trace condition is satisfied in the three-quark case.

• Research Organization: Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544
• OSTI ID: 6002227
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645204 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BANACH SPACE
CHARGE DENSITY
COLOR MODEL
COMPOSITE MODELS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
HILBERT SPACE
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
QUARKS
SPACE
YANG-MILLS THEORY