粒子物理中的各种分形及其可能的共同基础

在粒子物理中分形除了相应于已知的多重产生的间隙性和我们提出的分形模型外，它和多重分形还广泛联系于各种标度性，某些碰撞，统计模型及统计分布等。对分维应用的主要数学方法之一的重正化群就源于量子场论。物理上我们研究发现，分形可以应用的领域一般都与高能极限有关，也许它们都可以归于高能统计模型及相关的推广的混沌模型。

Varous Types of Fractals and Their Possible Common Basis in Particle Physics

In the particle physics the fractals and the multifractals are widely con-neced with various scalings, some collisions, the statistical models and the statistical dis-tributions, besides the known intermittency of the multiparticle production and thefractals model proposed by us.The renormalization group, one of the main mathematicalways applied to the fractals,originates from the quantum field theory. In the physical as-pect, we find that the usual regions,which can be applied by the fractals, related to thelimit at high energy,perhaps,they may belong to the statistical models at high energy andthe extended chaos model.