| 摘 要： | It is well known that confinings and asymptotic freedom are properties of quantum chromo-dynamics(QCD).But hints of these features 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 approximately expressed through simple elementary functions.From the solution,we derive out a classically non-perturbative beta function describing the running of efective coupling constant,which is linear in the couplings both in the infrared and ultraviolet region.
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