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arXiv · 1307.4485

A dynamical mechanism for generating quark confinement

Han-Xin He·Yu-Xin Liu
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Abstract

We explore the dynamical mechanism for generating the infrared singular quark-gluon vertex and quark confinement based on the gauge invariance in covariant-gauge quantum chromodynamics(QCD). We first derive the gauge-invariance constraint relation for the infrared-limit behavior of the quark-gluon vertex, which shows the mechanism for generating the infrared behavior of the quark-gluon vertex. We hence unravel a novel mechanism for generating an infrared singular quark-gluon vertex and then a linear rising potential for confining massive quarks, where the infrared singularity in the form factors composing the quark-ghost scattering kernel plays a crucial role. The mechanism for linking chiral symmetry breaking with quark confinement is also shown.

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Han-Xin He, Yu-Xin Liu. 2013-12-13. A dynamical mechanism for generating quark confinement. https://arxiv.org/abs/1307.4485

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