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Title: Aspects of the Confinement Mechanism in Coulomb-Gauge QCD

Abstract

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.

Authors:
; ; ;  [1]
  1. Institut fuer Physik, University of Graz, A-8010 Graz (Austria)
Publication Date:
OSTI Identifier:
20775034
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 96; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevLett.96.022001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BAG MODEL; BETHE-SALPETER EQUATION; CORRELATIONS; GAUGE INVARIANCE; GLUONS; MATHEMATICAL SOLUTIONS; QUANTUM CHROMODYNAMICS; QUARK-QUARK INTERACTIONS; QUARKS; RESONANCE PARTICLES; SINGULARITY; VECTOR MESONS

Citation Formats

Alkofer, R., Kloker, M., Krassnigg, A., and Wagenbrunn, R. F. Aspects of the Confinement Mechanism in Coulomb-Gauge QCD. United States: N. p., 2006. Web. doi:10.1103/PhysRevLett.96.022001.
Alkofer, R., Kloker, M., Krassnigg, A., & Wagenbrunn, R. F. Aspects of the Confinement Mechanism in Coulomb-Gauge QCD. United States. doi:10.1103/PhysRevLett.96.022001.
Alkofer, R., Kloker, M., Krassnigg, A., and Wagenbrunn, R. F. Fri . "Aspects of the Confinement Mechanism in Coulomb-Gauge QCD". United States. doi:10.1103/PhysRevLett.96.022001.
@article{osti_20775034,
title = {Aspects of the Confinement Mechanism in Coulomb-Gauge QCD},
author = {Alkofer, R. and Kloker, M. and Krassnigg, A. and Wagenbrunn, R. F.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.96.022001},
journal = {Physical Review Letters},
number = 2,
volume = 96,
place = {United States},
year = {Fri Jan 20 00:00:00 EST 2006},
month = {Fri Jan 20 00:00:00 EST 2006}
}