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arXiv · 1511.01587

The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation

Hui-Feng Fu·Qing Wang
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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.

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Hui-Feng Fu, Qing Wang. 2015-11-11. The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation. https://doi.org/10.1103/physrevd.93.014013

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