组合物理、正规序与模型费曼图
Combinatorial Physics, Normal Order and Model Feynman Graphs
摘要：
玻色子弦的一般正规序问题是一个组合问题。在本文中，我们仅限于单模玻色子单项式。这个问题导致了著名的组合数的优雅概括，例如贝尔数和斯特林数。我们明确地给出了这些数的某些类的生成函数。最后，我们表明，这些组合数的图形表示导致套模型场论，其中的图形可以被解释为费曼图对应的玻色子的理论。生成函数是费曼图类的生成元。
英文摘要：
The general normal ordering problem for boson strings is a combinatorial problem. In this note we restrict ourselves to single-mode boson monomials. This problem leads to elegant generalisations of well-known combinatorial numbers, such as Bell and Stirling numbers. We explicitly give the generating functions for some classes of these numbers. Finally we show that a graphical representation of these combinatorial numbers leads to sets of model field theories, for which the graphs may be interpreted as Feynman diagrams corresponding to the bosons of the theory. The generating functions are the generators of the classes of Feynman diagrams.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
