The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation
High Energy Physics - Phenomenology
2016-01-27 v2
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.
Cite
@article{arxiv.1511.01587,
title = {The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation},
author = {Hui-Feng Fu and Qing Wang},
journal= {arXiv preprint arXiv:1511.01587},
year = {2016}
}
Comments
24 pages, 13 figures, 2 tables