Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-30
Phys.Lett.B678:322-330,2009
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 1 figure, a version accepted for publication in Phys.Lett.B: minor changes and addition of references in [8]
Scientific paper
10.1016/j.physletb.2009.06.026
We rewrite the Zwanziger horizon condition in terms of the Kugo-Ojima parameter for color confinement. This enables one to explain which value of the Kugo-Ojima parameter is allowed if the horizon condition is imposed. Although all the calculations are performed in the limit of vanishing Gribov parameter for simplicity, the obtained value is consistent with the result of numerical simulations. Consequently, the ghost propagator behaves like free and the gluon propagator is non-vanishing at low momenta, in harmony with recent lattice results and decoupling solution of the Schwinger-Dyson equation. The Kugo-Ojima criterion is realized only when the restriction is removed.
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