Confinings of QCD at purely classic levels

Details Confinings of QCD at purely classic levels Confinings of QCD at purely classic levels

2011-10-23

arxiv.org/abs/1110.5054v2

Physics

High Energy Physics

High Energy Physics - Theory

typos corrected, an appendix analytically proving the asymptotical behavior of J is added

Scientific paper

It is well known that confinings and asymptotic freedom are properties of quantum chromo-dynamics (QCD). But they can also be observed at purely classic levels. For this purpose we need to find solutions to the colorly-sourceful Yang-Mills equations with both confining and asymptotic freedom features. We provide such a solution in this paper which at the near-source region is of serial form, while at the far-away region is expressed through simple fundamental functions approximately. From the solution, we derive out a non-perturbative beta function describing the running of effective coupling constant, which is linear in the couplings both in the infrared and ultraviolet region.

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