随机Levy-Schroedinger相对论方程的质量谱：QCD中可能的定性预言
Mass spectrum from stochastic Levy-Schroedinger relativistic equations: possible qualitative predictions in QCD
摘要：
本文从自由Levy-Schroedinger粒子的动能与其随机过程的对数特性之间的关系出发，证明了在可重正化场论与特定Levy过程之间建立精确关系的可能性。这随后导致了微扰图中的一个特殊截止，并可以产生一个唯象的质谱，允许解释分布在标准模型的三个家族中的夸克和轻子。
英文摘要：
Starting from the relation between the kinetic energy of a free Levy-Schroedinger particle and the logarithmic characteristic of the underlying stochastic process, we show that it is possible to get a precise relation between renormalizable field theories and a specific Levy process. This subsequently leads to a particular cut-off in the perturbative diagrams and can produce a phenomenological mass spectrum that allows an interpretation of quarks and leptons distributed in the three families of the standard model.
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