A Semi-analytical Solution to Classic Yang-Mills Equations with Both Asymptotical Freedom and Confining Features
Abstract
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 effective coupling constant, which is linear in the couplings both in the infrared and ultraviolet region.
Keywords
Cite
@article{arxiv.1110.5054,
title = {A Semi-analytical Solution to Classic Yang-Mills Equations with Both Asymptotical Freedom and Confining Features},
author = {Ding-fang Zeng},
journal= {arXiv preprint arXiv:1110.5054},
year = {2013}
}
Comments
version to appear in Commun. Their. Phys