Gauge-invariant four-gluon vertex and its Ward identity

Journal Article · Sat May 15 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.4728· OSTI ID:6645160

Papavassiliou, J ^[1]

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1. Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)

We use the [ital S]-matrix pinch technique to construct at one-loop order a four-gluon vertex for QCD, which is independent of the choice of the gauge parameter, when one or more of the incoming momenta are off shell. We discuss some of the technical subtleties in the application of the pinch technique and show that this vertex satisfies a very simple Ward identity, relating it to a previously constructed gauge-independent three-gluon vertex, also found with the same technique. This analysis serves as a prelude to the construction of an effective potential for QCD, which is gauge-independent order by order in the dressed-loop expansion.

• OSTI ID: 6645160
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:10; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

Related Subjects

662230* -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUONS
GREEN FUNCTION
INVARIANCE PRINCIPLES
MATRICES
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
S MATRIX
SELF-ENERGY
WARD IDENTITY