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Effective Lagrangian with two color-singlet gluon fields

Journal Article · · Phys. Rev., D; (United States)

An effective Lagrangian with scalar and pseudoscalar ''matter'' fields as well as scalar and pseudoscalar (gauge-invariant) color-singlet gluon fields is constructed. It is a representation of quantum chromodynamics in that it has the same symmetry structure as that theory. The present model is a generalization of a one- (pseudoscalar) gluon-field effective Lagrangian which compactly summarizes the results of the 1/N/sub c/ approximation, gives a simple picture for the ''U(1) problem,'' and essentially reduces to a type of generalized sigma model. The new feature here is that, in addition to the chiral-anomaly equation, the trace-anomaly equation is automatically fulfilled. This gives a framework for discussion of the properties of a 0/sup +/ color-singlet gluon field. The model may be formulated either so that this field is eliminated by a constraint equation or so that it is associated with a physical particle. Probably, experiment is the best way at present of deciding between the two possibilities. A number of possibilities for further generalization of the effective Lagrangian, including a hint of a possible connection with the ''confinement'' problem, are mentioned.

Research Organization:
Physics Department, Syracuse University, Syracuse, New York 13210
OSTI ID:
5294235
Journal Information:
Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Journal Issue: 12 Vol. 21:12; ISSN PRVDA
Country of Publication:
United States
Language:
English

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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
BARYON NUMBER
CHIRAL SYMMETRY
COLOR MODEL
COMPOSITE MODELS
CONSERVATION LAWS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY-MOMENTUM TENSOR
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
PSEUDOSCALARS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
RENORMALIZATION
SCALAR FIELDS
SYMMETRY
SYMMETRY BREAKING
TENSORS