通过量子运动的子系统

IF 1.6 3区数学 Q1 MATHEMATICS Analysis and Mathematical Physics Pub Date : 2024-05-16 DOI:10.1007/s13324-024-00912-3

Ali Shojaei-Fard

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引用次数: 0

摘要

借助规量场理论中格林函数重正化的拓扑霍普夫代数，我们为每个组合戴森-施文格方程关联了一个双海廷代数。这种设置使我们能够描述量子运动的解空间所产生的子系统。此外，我们应用费曼图的（c_{2}\）不变量建立了一个新的乘法群海廷代数，它编码了物理理论的一类更普遍的子系统。

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Subsystems via quantum motions

Thanks to the topological Hopf algebra of renormalization of Green’s functions in a gauge field theory, we associate a bi-Heyting algebra to each combinatorial Dyson–Schwinger equation. This setting leads us to characterize subsystems generated by the solution spaces of quantum motions. In addition, we apply the \(c_{2}\)-invariant of Feynman diagrams to build a new Heyting algebra of multiplicative groups which encodes a more general class of subsystems of the physical theory.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.