Gauge-invariant three-gluon vertex in QCD
- Department of Physics, University of California, Los Angeles, California 90024-1547 (US)
By resumming the Feynman graphs which contribute to any gauge-invariant process we explicitly construct, at one-loop order, a three-gluon vertex for QCD which is completely independent of the choice of gauge. This vertex satisfies a Ward identity of the type encountered in ghost-free gauges, relating the vertex to the proper self-energy of a previously constructed gluon propagator, also found by resumming graphs; like the vertex, this self-energy is completely gauge invariant. We also derive the gauge-invariant propagator and vertex via a second related technique which minimizes the dependence on embedding these objects in a gauge-invariant process; the same results are found as in the first technique. These results motivate a toy model of the nonlinear Schwinger-Dyson equation satisfied by the exact gauge-invariant three-gluon vertex. This model is nonperturbative and has infrared singularities, which we can remove via gluon mass generation; it shows many interesting features expected of QCD, such as a {beta} function which is not Borel summable in perturbation theory.
- OSTI ID:
- 5243698
- Journal Information:
- Physical Review (Section) D: Particles and Fields; (USA), Vol. 40:10; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
QUANTUM CHROMODYNAMICS
GAUGE INVARIANCE
DYSON REPRESENTATION
FEYNMAN DIAGRAM
GLUONS
INFRARED DIVERGENCES
MASS
PERTURBATION THEORY
PROPAGATOR
S MATRIX
SELF-ENERGY
WARD IDENTITY
BOSON EXPANSION
BOSONS
DIAGRAMS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORIES
INVARIANCE PRINCIPLES
MATRICES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
645400* - High Energy Physics- Field Theory