Title: Anatomy of Two-Loop Effective Action in Noncommutative Field Theories Show Chinese title

Title: 非对易场论中两环有效作用的结构

Abstract: We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theory diagrammatics is made transparent in the Seiberg-Witten limit. We argue that the resulting two-loop effective action is expressible via open Wilson lines: one-particle-irreducible effective action is generating functional of connected diagrams for interacting open Wilson lines. Show Chinese abstract

Abstract: 我们计算了非交换$\lambda[\Phi^3]_\star$理论中，平面（g=0, h=3）和非平面（g=1, h=1）贡献的二环阶单粒子不可约格林函数和有效作用量。 我们采用费曼图的世界线形式，使得在Seiberg-Witten极限下与弦理论图示的关系变得清晰。 我们认为，得到的二环有效作用量可以通过开威尔逊线来表示：单粒子不可约有效作用量是相互作用开威尔逊线连接图的生成泛函。