A Semi-Analytical Solution to Classic Yang—Mills Equations with Both Asymptotical Freedom and Confining Features

It is well known that confinings and asymptotic freedom are properties of quantum chromo-dynamics (QCD). But hints of these features can also he observed at purely classic levels. For this purpose we need to find solutions to the colorly-sourceful Yang-Mills equations with both confining and asympto...

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Bibliographic Details
Published in:Communications in theoretical physics 2013-10, Vol.60 (4), p.465-470
Main Author: Zeng, Ding-Fang
Format: Article
Language:English
Subjects:
Asymptotic properties
Confining
Constants
Couplings
Infrared
Mathematical analysis
Running
Serials
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Summary:It is well known that confinings and asymptotic freedom are properties of quantum chromo-dynamics (QCD). But hints of these features can also he 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.
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/60/4/14