Integration of source-charge constraints in quantum chromodynamics with fixed quark and antiquark sources
I study the problem of satisfying the source-charge constraints in operator-symmetrized quantum chromodynamics (QCD) with static sources. I show that the color-charge algebras generated by the QCD outer product P/sup A/(u,v) = (i/2) f/sup A/BC(u/sup B/v/sup C/+v/sup C/u/sup B/) can always be put in the form P/sup A/(w/sub a/,w/sub b/) =iC/sub a/bcw/sub c/, with structure constants C/sub a/bc which are totally antisymmetric, but which do not in general satisfy the Jacobi identity. However, total antisymmetry of the C's is enough for the corresponding overlying classical field equations to be derivable from a Lagrangian and to possess a conserved stress-energy tensor, involving a finite number of undetermined constants of integration. I postulate conditions for determining the integration constants when the sources are in a color-singlet state, and use them to fix the overlying classical theory in the qq-bar and the qqq (q-barq-barq-bar) cases.
- Research Organization:
- The Institute for Advanced Study, Princeton, New Jersey 08540
- OSTI ID:
- 5634523
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:12; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
CLASSICAL MECHANICS
COLOR MODEL
COMPOSITE MODELS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GLUONS
HILBERT SPACE
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SPACE