Gluon poles from Feynman graphs, and gauge-invariant amplitudes
Journal Article
·
· Phys. Rev. D; (United States)
With the object of defining a physically measurable quark-gluon-plasma frequency, two SU(3) gauge-invariant amplitudes, the photon propagator, and the S matrix for quark-quark scattering are studied. It is shown through explicit calculation that, at the two-loop level (..cap alpha../sub s//sup 3/) in a general gauge, no subset of diagrams exists in these amplitudes, out of the entire set of Feynman diagrams available, with the property of yielding a gauge-invariant sum while probing the inherent non-Abelian nature of the theory. This implies that formulations of non-Abelian linear response theory based solely on gauge-dependent two-point functions or the electric field propagators are incomplete and unphysical. It also suggests that the Schwinger-Dyson equation for a properly defined, gauge-invariant, quark-gluon-plasma frequency contains an infinite number of proper skeleton graphs.
- Research Organization:
- Department of Physics, Oregon State University, Corvallis, Oregon 97331
- OSTI ID:
- 6313939
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:8; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
DIAGRAMS
DYSON REPRESENTATION
ELECTRIC FIELDS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MASSLESS PARTICLES
MATRICES
MATTER
PARTICLE INTERACTIONS
PHOTONS
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARK MATTER
QUARK-QUARK INTERACTIONS
S MATRIX
SCATTERING
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
DIAGRAMS
DYSON REPRESENTATION
ELECTRIC FIELDS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MASSLESS PARTICLES
MATRICES
MATTER
PARTICLE INTERACTIONS
PHOTONS
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARK MATTER
QUARK-QUARK INTERACTIONS
S MATRIX
SCATTERING
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS