Towards an algebraic quantum chromodynamics

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

DOI:https://doi.org/10.1103/PhysRevD.19.2984· OSTI ID:6213635

Domokos, G; Koevesi-Domokos, S

We outline a quantum theory of quarks and gluons based on fields with values taken from a noncommutative Jordan algebra. These fields automatically satisfy a triality rule: Quark-antiquark and three-quark states are color singlets. If the elements of the algebra are position dependent, the theory leads to a minimal gauge-invariant coupling between quarks and gluons. The quantization of such a theory is outlined; we find that only color-singlet clusters of quarks and antiquarks have particle properties. The color-nonsinglet fields do not support a representation of the Lorentz group; in fact, their phases are undefined. We conjecture that this can be remedied by a coupling between space-time and flavor symmetries as suggested by Hawking and Pope. Such a coupling naturally leads to one-third-integer values of the quark charges.

• Research Organization: Department of Physics, The Johns Hopkins University, Baltimore, Maryland 21218
• OSTI ID: 6213635
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
COLOR MODEL
COMPOSITE MODELS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUON MODEL
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SPACE-TIME
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS