Gauge-invariant three-gluon vertex in QCD

Journal Article · Wed Nov 15 04:00:00 EST 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.3474· OSTI ID:5243698

Cornwall, J M; Papavassiliou, J ^[1]

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1. 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), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
BOSONS
DIAGRAMS
DYSON REPRESENTATION
ELEMENTARY PARTICLES
ENERGY
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INFRARED DIVERGENCES
INVARIANCE PRINCIPLES
MASS
MATRICES
PERTURBATION THEORY
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
S MATRIX
SELF-ENERGY
WARD IDENTITY