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Ultraviolet-improved gauge technique and the effective quark propagator in QCD

Journal Article · · Phys. Rev. D; (United States)
The gauge technique linearizes the Schwinger-Dyson equation by replacing the full vertex with a longitudinal vertex, satisfying the Ward identity. We show how to improve the standard gauge-technique treatment which is nonrenormalizable, by adding a conserved transverse vertex to the longitudinal vertex thereby removing all overlapping divergences from the Schwinger-Dyson equation in QCD. The improved gauge technique preserves multiplicative renormalizability and gauge covariance. Such a modified version of the gauge technique is used to solve the Schwinger-Dyson equation for the effective quark propagator of QCD, S(p), in the ultraviolet regime. For nonzero current-quark mass m, a solution is found that agrees with renormalization-group analysis, while a similar solution appears for the m = 0 case corresponding to dynamical chiral-symmetry breaking (i.e., a nonzero dynamical quark mass M(p)).
Research Organization:
Department of Physics, University of California, Los Angeles, California 90024
OSTI ID:
6591323
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 38:12; 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
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
CHIRAL SYMMETRY
COUPLING CONSTANTS
DIAGRAMS
DYSON REPRESENTATION
EIGENVALUES
ELEMENTARY PARTICLES
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
RENORMALIZATION
SYMMETRY
SYMMETRY BREAKING
ULTRAVIOLET DIVERGENCES
WARD IDENTITY