Screened massive expansion of the quark propagator in the Landau gauge,Physical Review D

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Screened massive expansion of the quark propagator in the Landau gauge
Physical Review D ( IF 4.6 ) Pub Date : 2021-10-19 , DOI: 10.1103/physrevd.104.074020
Giorgio Comitini _{1,

2} , Daniele Rizzo ₁ , Massimiliano Battello ₁ , Fabio Siringo _{1,

2}

Affiliation

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 nonstandard 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

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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