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Type: Journal article
Title: Kugo-Ojima confinement and QCD Green's functions in covariant gauges
Author: Alkofer, Reinhard
Fischer, Christian S.
von Smekal, Lorenz Johann Maria
Citation: Progress in Particle and Nuclear Physics, 2003; 50 (2):317-327
Publisher: Elsevier Science BV
Issue Date: 2003
ISSN: 0146-6410
School/Discipline: School of Chemistry and Physics
Statement of
R. Alkofer, C. S. Fischer and L. Von Smekal
Abstract: In Landau gauge QCD the Kugo-Ojima confinement criterion and its relations to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely related to the Gribov-Zwanziger horizon condition) results from quite general properties of the ghost Dyson-Schwinger equation. The numerical solutions for the gluon and ghost propagators obtained from a truncated set of Dyson-Schwinger equations provide an explicit example for the anticipated infrared behaviour. The results are in good agreement, also quantitatively, with corresponding lattice data obtained recently. The resulting running coupling approaches a fixed point in the infrared, α(0) = 8.915/Nc. Solutions for the coupled system of Dyson-Schwinger equations for the quark, gluon and ghost propagators are presented. Dynamical generation of quark masses and thus spontaneous breaking of chiral symmetry takes place. In the quenched approximation the quark propagator functions agree well with those of corresponding lattice calculations. For a small number of light flavours the quark, gluon and ghost propagators deviate only slightly from the ones in quenched approximation. While the positivity violation of the gluon spectral function is manifest in the gluon propagator, there are no clear indications of analogous positivity violations for quarks so far.
Description: Copyright © 2003 Published by Elsevier Science B.V.
RMID: 0020064603
DOI: 10.1016/S0146-6410(03)00025-5
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