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27 April 2024
 
  » arxiv » hep-ph/0309078

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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 ;
Date 8 Sep 2003
Subject hep-ph hep-lat hep-th nucl-th
AbstractIn 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.
Source arXiv, hep-ph/0309078
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