强子的分形结构与非广延统计
Fractal structure of hadrons and non-extensive statistics
摘要：
非广延热力学在物理系统中所扮演的角色在过去的几十年里一直处于激烈的争论之中。在过去的几年里，一些可能的机制，可能会导致非广泛的统计已经制定了，特别是在强子系统的热力学函数的分形结构的存在。我们研究了这类分形系统的性质，特别是利用Callan-Symanzik~方程讨论了分形标度不变性。最后，我们提出了一种计算相关量的图解方法。
英文摘要：
The role played by non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Some possible mechanisms that could give rise to non-extensive statistics have been formulated along the last few years, in particular the existence of a fractal structure in thermodynamic functions for hadronic systems. We investigate the properties of such fractal thermodynamical systems, in particular the fractal scale invariance is discussed in terms of the Callan-Symanzik~equation. Finally, we propose a diagrammatic method for calculations of relevant quantities.
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