论文标题
Tsallis统计,分形和QCD
Tsallis statistics, fractals and QCD
论文作者
论文摘要
我们研究了非扩展的Tsallis统计数据及其在QCD和高能量物理学上的应用,并分析了该统计数据与Hadron的分形结构的可能联系。然后,我们描述了Yang-Mills理论的缩放特性如何允许在量规场中出现自相似结构,这些结构实际上是分形的。 TSALLIS熵指数$ Q $是根据现场理论参数推导的,与实验获得的价值达成了良好的一致性。
We study the non-extensive Tsallis statistics and its applications to QCD and high energy physics, and analyze the possible connections of this statistics with a fractal structure of hadrons. Then, we describe how scaling properties of Yang-Mills theories allow the appearance of self-similar structures in gauge fields, which actually behave as fractals. The Tsallis entropic index, $q$, is deduced in terms of the field theory parameters, resulting in a good agreement with the value obtained experimentally.