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arXiv · 2108.00417

Screened massive expansion of the quark propagator in the Landau gauge

Giorgio Comitini·Daniele Rizzo·Massimiliano Battello·Fabio Siringo
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Abstract

The infrared behavior of the quark propagator is studied at one loop and in the Landau gauge ($ξ=0$) 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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Giorgio Comitini, Daniele Rizzo, Massimiliano Battello, Fabio Siringo. 2021-10-09. Screened massive expansion of the quark propagator in the Landau gauge. https://doi.org/10.1103/physrevd.104.074020

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