The Kugo-Ojima Confinement Criterion from Dyson-Schwinger Equations

Details The Kugo-Ojima Confinement Criterion from Dyson-Schwinger Equations The Kugo-Ojima Confinement Criterion from Dyson-Schwinger Equations

2001-05-15

arxiv.org/abs/hep-ph/0105142v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 5 figures; To be published in the proceedings of the Workshop on Dynamical aspects of the QCD phase transition, ECT*

Scientific paper

Prerequisites of confinement in the covariant and local description of QCD are reviewed. In particular, the Kugo-Ojima confinement criterion, the positivity violations of transverse gluon and quark states, and the conditions necessary to avoid the decomposition property for colored clusters are discussed. In Landau gauge QCD, the Kugo-Ojima confinement criterion follows from the ghost Dyson-Schwinger equation if the corresponding Green's functions can be expanded in an asymptotic series. Furthermore, the infrared behaviour of the propagators in Landau gauge QCD as extracted from solutions to truncated Dyson-Schwinger equations and lattice simulations is discussed in the light of these issues.

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