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Engendering self-similarity in Boson field by a natural feedback process
Physica Scripta ( IF 2.6 ) Pub Date : 2021-08-30 , DOI: 10.1088/1402-4896/ac1f5e
Y Contoyiannis 1, 2 , P Papadopoulos 1 , M Kampitakis 3 , S G Stavrinides 4 , M P Hanias 5 , S M Potirakis 1
Affiliation  

In this work we suggest that the production of bosons (mesons) in a cascade process such as the one provided by the Schwinger and Bjorken models for the quark confinement, can be considered as a natural feedback process. Within this feedback process, a recurrent operator acts on the initial boson field function, which is mathematically expressed by some type of the zero-order Bessel function. The result of this recurrent operation is a temporal sequence of field structures that demonstrates the property of self-similarity. Each structure is part of the boson field function that results after a number of as many iterations as the structures that appear.



中文翻译:

通过自然反馈过程在玻色子场中产生自相似性

在这项工作中,我们建议在级联过程中产生玻色子(介子),例如 Schwinger 和 Bjorken 模型提供的夸克约束,可以被视为一种自然反馈过程。在这个反馈过程中,循环算子作用于初始玻色场函数,该函数由某种类型的零阶贝塞尔函数在数学上表示。这种循环操作的结果是场结构的时间序列,证明了自相似性。每个结构都是玻色子场函数的一部分,该函数经过与出现的结构一样多的迭代次数后产生。

更新日期:2021-08-30
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