Aspects of confinement from QCD correlation functions
Abstract
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.
Cite
@article{arxiv.0812.2745,
title = {Aspects of confinement from QCD correlation functions},
author = {Christian S. Fischer and Axel Maas and Jan M. Pawlowski},
journal= {arXiv preprint arXiv:0812.2745},
year = {2009}
}
Comments
5 pages, 2 figures; invited talk presented by CF at the conference "Quark Confinement and the Hadron Spectrum VIII", Mainz, Germany, 1st-6th of September 2008