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arXiv 2002.12667hep-thhep-phnucl-th
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Yang-Mills场的分形结构

Fractal structure of Yang-Mills fields

Airton Deppman, Eugenio Megias, Debora P. Menezes

摘要:

物理系统中非广延热力学的起源在过去几十年里一直处于激烈的争论之中。最近的研究结果表明,非广延统计和热分形之间的连接。在回顾了这种联系之后,我们分析了杨-米尔斯理论的标度性质如何允许在规范场中出现自相似结构。这种结构的存在,实际上表现为分形,允许经常性的非微扰计算的顶点。有人认为,当使用统计方法,非广延统计,并Tsallis熵指数,$q$,推导出的场论参数。将所得结果应用于单圈近似下的QCD,结果与实验得到的$q$值符合得很好。

英文摘要:

The origin of non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Recent results indicate a connection between non-extensive statistics and thermofractals. After reviewing this connection, we analyze how scaling properties of Yang-Mills theory allow the appearance of self-similar structures in gauge fields. The presence of such structures, which actually behave as fractals, allows for recurrent non-perturbative calculations of vertices. It is argued that when a statistical approach is used, the non-extensive statistics is obtained, and the Tsallis entropic index, $q$, is deduced in terms of the field theory parameters. The results are applied to QCD in the one-loop approximation, resulting in a good agreement with the value of $q$ obtained experimentally.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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