Aspects of confinement from QCD correlation functions

Details Aspects of confinement from QCD correlation functions Aspects of confinement from QCD correlation functions

2008-12-15

arxiv.org/abs/0812.2745v1

PoS Confinement8:043,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 2 figures; invited talk presented by CF at the conference "Quark Confinement and the Hadron Spectrum VIII", Mainz, Ge

Scientific paper

We discuss the properties of ghost and gluon propagators in Landau gauge Yang-Mills theory and their relation to the confinement problem. In general two types of infrared behavior of these functions are allowed from their functional equations: scaling and decoupling. Both solutions show positivity violations in the gluon propagator and lead to a confining Polyakov loop potential. However, only the scaling solution agrees with the Kugo-Ojima confinement scenario and the related formulation of a physical Hilbert space of Yang-Mills theory. Our numerical results for the gluon dressing function agree almost pointwise with the lattice results at all physical momenta.

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