论文标题
许多身体绿色功能和Matsubara形式主义的过度表述
Hyperfunction formulation of many body Green's functions and the Matsubara formalism
论文作者
论文摘要
我们表明，许多人体理论中使用的单粒子绿色功能具有优雅的描述，形式是超功能。我们总结了必要的超功能概念。我们表明，在此公式中，分析性能和不同绿色功能之间的关系是自然的。标准形式主义的重要结果是直接恢复的。我们认为，如果可以在单粒子格林的功能之外开发形式主义，则可能会为许多身体理论提供强大的新工具。
We show that the single-particle Green's functions used in many body theory have an elegant description in the form of hyperfunctions. We summarize the necessary hyperfunction concepts. We show that the analytical properties and the relations between different Green's functions are natural within this formulation. Important results from the standard formalism are recovered straightforwardly. We argue that hyperfunctions could possibly provide a powerful new tool for many body theory, if the formalism could be developed beyond single-particle Green's functions.
