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

R. Alkofer·W. Detmold·C. S. Fischer·P. Maris
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Abstract

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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R. Alkofer, W. Detmold, C. S. Fischer, P. Maris. 2004-06-23. Analytic structure of the gluon and quark propagators in Landau gauge QCD. https://doi.org/10.1016/j.nuclphysbps.2004.12.019

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