论文标题
部分可观测时空混沌系统的无模型预测
Information entropy and fragmentation functions
论文作者
论文摘要
几个小组最近从质子的质子熵熵（通过喷射裂解产生熵到哈生子腐烂的熵分布）调查了高能碰撞中的信息流。文献缺乏的讨论是在可以将其视为概率分布的情况下对碎片函数（FFS）的信息熵进行的讨论，我们在这里提供了它。我们发现，此熵是一个单个方便的数字，可以表征碎片函数提取的未来进步。我们还在两个分布之间部署相关的Kullback-Leibler差异，以评估FFS和Parton分布功能（PDF）之间的现有关系，例如Barone，Drago和MA。从FFS的几个当前参数化，我们找不到有关该关系的经验证据，尽管FFS和PDF可能在$ x = 1 $ endpoint附近具有相似的幂律。
Several groups have recently investigated the flow of information in high-energy collisions, from the entanglement entropy of the proton yielding classical Shannon entropy of its parton distribution functions (pdfs), through jet splitting generating entropy, to the entropy distribution in hadron decays. Lacking in the literature is a discussion of the information entropy of fragmentation functions (FFs) in the instances where they can be considered as probability distributions, and we here provide it. We find that this entropy is a single, convenient number to characterize future progress in the extraction of fragmentation functions. We also deploy the related Kullback-Leibler divergence between two distributions to assess existing relations among FFs and parton distribution functions (pdfs) such as that of Barone, Drago and Ma. From a couple of current parametrizations of FFs, we do not find supporting empirical evidence for the relation, although it is possible that FFs and pdfs have similar power-laws near the $x=1$ endpoint.
