Vortex induced confinement and the Kugo-Ojima confinement criterion

Details Vortex induced confinement and the Kugo-Ojima confinement criterion Vortex induced confinement and the Kugo-Ojima confinement criterion

2002-04-26

arxiv.org/abs/hep-lat/0204025v1

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 6 PS figures, presented by at the NATO Advanced Research Workshop "Confinement, Topology, and other Non-Perturbative

Scientific paper

The SU(2) Yang-Mills gluon and ghost Green-functions are studied in Landau gauge by means of lattice gauge simulations. A focal point is their low energy behavior since in particular the Kugo-Ojima confinement criterion relates a diverging ghost form factor at vanishing momentum transfer to the confining capabilities of the theory. This divergence is verified by numerical simulations. Removing the confining vortices from the lattice ensembles converts SU(2) Yang-Mills theory in a non-confining theory. It is shown that in this modified theory the divergence of the ghost propagator disappears.

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