The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation

Abstract

The quark propagator is studied under a truncation scheme beyond the rainbow approximation by dressing the quark-gluon vertex non-perturbatively. It is found that, in the chiral limit with dynamical symmetry breaking, the dynamical quark mass and the quark condensate are significantly enhanced due to the non-Abelian contribution arising from the three-gluon interaction compared to those under the rainbow approximation; and the critical strength of the dynamical chiral symmetry breaking is much lowered. The Abelian contribution is much smaller than the non-Abelian contribution. A technical issue on removing the ultraviolet divergences including the overlapping divergences is discussed.

24 pages, 13 figures, 2 tables

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Cited by in corpus (10)

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• Symmetry preserving truncations of the gap and Bethe-Salpeter equations
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of B(c)* meson mass
• Practical scheme from QCD to phenomena via Dyson-Schwinger equations
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• Derivation of the effective Chiral Lagrangian for pseudoscalar, scalar, vector and axial-vector mesons from QCD
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• On the low-energy spectrum of an SU(2) gauge theory with dynamical fermions
• Derivation of the gap and Bethe-Salpeter equations at large $N_c$ limit and symmetry preserving truncations