Analytic structure of the gluon and quark propagators in Landau gauge QCD

Details Analytic structure of the gluon and quark propagators in Landau gauge QCD Analytic structure of the gluon and quark propagators in Landau gauge QCD

2003-09-08

arxiv.org/abs/hep-ph/0309078v2

Nucl.Phys.Proc.Suppl.141:122-127,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 3 figures; summary of a talk given at several occasions; to be published in the proceedings of the international conf

Scientific paper

10.1016/j.nuclphysbps.2004.12.01

In Landau gauge QCD the infrared behavior of the propagator of transverse gluons can be analytically determined to be a power law from Dyson-Schwinger equations. This propagator clearly shows positivity violation, indicating the absence of the transverse gluons from the physical spectrum, i.e. gluon confinement. A simple analytic structure for the gluon propagator is proposed capturing all important features. We provide arguments that the Landau gauge quark propagator possesses a singularity on the real timelike axis. For this propagator we find a positive definite Schwinger function.

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