Screened massive expansion of the quark propagator in the Landau gauge

Abstract

The infrared behavior of the quark propagator is studied at one loop and in the Landau gauge ($\xi =0$) using the screened massive expansion of full QCD and three different resummation schemes for the quark self-energy. The shift of the expansion point of perturbation theory, which defines the screened expansion, together with a non-standard renormalization of the bare parameters, proves sufficient to describe the dynamical generation of an infrared quark mass also in the chiral limit. Analytically, the scale for such a mass is set by a mass parameter $M$, whose value is fixed by a fit to the lattice data for quenched QCD. The quark mass function $\mathcal{M}(p^2)$ is shown to be in very good agreement with the lattice results. The quark $Z$-function, on the other hand, shows the wrong qualitative behavior in all but one of the studied resummation schemes, where its behavior is qualitatively correct, but only at sufficiently high energies.

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Cited by in corpus (5)

• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Two-loop corrections to the QCD propagators within the Curci-Ferrari model
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• Analytic continuation and physical content of the gluon propagator
• Screened massive expansion of Schwinger-Dyson equations