论文标题

阳米尔斯领域和非广泛统计的分形结构:高能量物理的应用

Fractal Structures of Yang-Mills Fields and Non Extensive Statistics: Applications to High Energy Physics

论文作者

Deppman, Airton, Megias, Eugenio, Menezes, Debora P.

论文摘要

在这项工作中,我们概述了有关非扩展的Tsallis统计数据及其在高能量物理和天体物理学中的应用,包括大型强子撞机(LHC),强生物理学和中子星的应用。我们回顾了一些有关在高能量物理实验中引起的幂律分布的一些研究,该实验的重点是对所形成的系统的热力学描述,这可以解释幂律行为。还讨论了与黑德子分形结构的可能连接。本工作的主要目的是描述这些研究的最新作品,并显示一些公开问题值得更加仔细的调查。我们提出了几种通过实验数据分析测试理论的可能性。

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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