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Analytic properties of the Landau gauge gluon and quark propagators

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arxiv hep-ph/0309077 v2 pith:IXUZILZT submitted 2003-09-08 hep-ph hep-lat

R. Alkofer , W. Detmold , C. S. Fischer , P. Maris This is my paper · ORCID
classification hep-phhep-lat
keywords gluonpropagatorquarkanalyticfindgaugelandaupropagators
verification ladder T0 review T1 audit T2 compute T3 formal

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We explore the analytic structure of the gluon and quark propagators of Landau gauge QCD from numerical solutions of the coupled system of renormalized Dyson--Schwinger equations and from fits to lattice data. We find sizable negative norm contributions in the transverse gluon propagator indicating the absence of the transverse gluon from the physical spectrum. A simple analytic structure for the gluon propagator is proposed. For the quark propagator we find evidence for a mass-like singularity on the real timelike momentum axis, with a mass of 350 to 500 MeV. Within the employed Green's functions approach we identify a crucial term in the quark-gluon vertex that leads to a positive definite Schwinger function for the quark propagator.

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Cited by 6 Pith papers

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