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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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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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