Aspects of confinement from QCD correlation functions

Christian S. Fischer; Axel Maas; Jan M. Pawlowski

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arXiv · 0812.2745

Aspects of confinement from QCD correlation functions

Christian S. Fischer·Axel Maas·Jan M. Pawlowski

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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.

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Christian S. Fischer, Axel Maas, Jan M. Pawlowski. 2008-12-15. Aspects of confinement from QCD correlation functions. https://arxiv.org/abs/0812.2745

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