Aspects of the confinement mechanism in Coulomb-gauge QCD

Phenomenological consequences of the infrared singular, instantaneous part of the gluon propagator in the Coulomb gauge are investigated. The corresponding quark Dyson-Schwinger equation is solved, neglecting retardation and transverse gluons and regulating the resulting infrared singularities. Whil...

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Bibliographic Details
Published in:Physical review letters 2006-01, Vol.96 (2), p.022001-022001, Article 022001
Main Authors: Alkofer, R, Kloker, M, Krassnigg, A, Wagenbrunn, R F
Format: Article
Language:English
Subjects:
BAG MODEL
BETHE-SALPETER EQUATION
CORRELATIONS
GAUGE INVARIANCE
GLUONS
MATHEMATICAL SOLUTIONS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
QUARK-QUARK INTERACTIONS
QUARKS
RESONANCE PARTICLES
SINGULARITY
VECTOR MESONS
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Summary:Phenomenological consequences of the infrared singular, instantaneous part of the gluon propagator in the Coulomb gauge are investigated. The corresponding quark Dyson-Schwinger equation is solved, neglecting retardation and transverse gluons and regulating the resulting infrared singularities. While the quark propagator vanishes as the infrared regulator goes to zero, the frequency integral over the quark propagator stays finite and well defined. Solutions of the homogeneous Bethe-Salpeter equation for the pseudoscalar and vector mesons as well as for scalar and axial-vector diquarks are obtained. In the limit of a vanishing infrared regulator the diquark masses diverge, while meson properties and diquark radii remain finite and well defined. These features are interpreted with respect to the resulting aspects of confinement for colored quark-quark correlations.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.96.022001