复合量子粒子多体效应的Shiva图和Kali图
Shiva and Kali diagrams for composite quantum particle many-body effects
摘要：
半个世纪以来，费曼图为描述基本费米子和玻色子之间的多体效应提供了一种启发性的方法。然而，他们是非常不适当的可视化费米子交换之间发生的大量复合量子粒子。我们建议用两个费米子组成的cobosons的“Shiva图”和由三个费米子组成的cofermion的Shiva类和“Kali图”来代替它们。我们还展示了如何这些费米子交换正式出现在一个多体理论适合复合量子粒子。这个理论依赖于一个算子代数的基础上的反子和反子，通常的标量代数的基础上的格林函数是有效的基本玻色子或费米子有严格的交换关系，只有。
英文摘要：
For half a century, Feynman diagrams have provided an enlightening way of representing many-body effects between elementary fermions and bosons. They however are quite inappropriate to visualize fermion exchanges taking place between a large number of composite quantum particles. We propose to replace them by "Shiva diagrams" for cobosons made of two fermions and by Shiva-like and "Kali diagrams" for cofermions made of three fermions. We also show how these fermion exchanges formally appear in a many-body theory appropriate to composite quantum particles. This theory relies on an operator algebra based on commutators and anticommutators, the usual scalar algebra based on Green functions being valid for elementary bosons or fermions having strict commutation relations, only.
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