Yang-Mills场的分形结构和非广延统计：在高能物理中的应用
Fractal Structures of Yang-Mills Fields and Non Extensive Statistics: Applications to High Energy Physics
摘要：
在这项工作中，我们提供了一个概述的非广泛的Tsallis统计及其应用的高能物理和天体物理，包括物理在大型强子对撞机（LHC），强子物理，和中子星的最新研究。本文综述了近年来对高能物理实验中出现的幂律分布的一些研究，着重于对所形成系统的热力学描述，这可以解释幂律行为。本文还讨论了它们与强子分形结构的可能联系。目前的工作的主要目标是划定国家的最先进的这些研究和~显示一些开放的问题，值得更仔细的调查。我们提出了几种可能性，通过实验数据的分析来测试的理论。
英文摘要：
In this work, we provide an overview of the recent investigations on the non-extensive Tsallis statistics and its applications to high energy physics and astrophysics, including physics at the Large Hadron Collider (LHC), hadron physics, and neutron stars. We review some recent investigations on the power-law distributions arising in high energy physics experiments focusing on a thermodynamic description of the system formed, which~could explain the power-law behavior. The possible connections with a fractal structure of hadrons is also discussed. The main objective of the present work is to delineate the state-of-the-art of those studies and~show some open issues that deserve more careful investigation. We propose several possibilities to test the theory through analyses of experimental data.
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