论文标题

从扭曲交叉理论中的所有标量理论的正几何形状

Positive Geometries for all Scalar Theories from Twisted Intersection Theory

论文作者

Kalyanapuram, Nikhil, Jha, Raghav G.

论文摘要

我们表明,Accordiohedra提供了多面体,该多面体编码了所有具有通用相互作用的大规模标量场理论的振幅。这是通过在平面限制中使用曲线相交理论在平面限制中以一个循环级别的Feynman图的积分公式来得出的积分公式,从而完成。

We show that accordiohedra furnish polytopes which encode amplitudes for all massive scalar field theories with generic interactions. This is done by deriving integral formulae for the Feynman diagrams at tree level and integrands at one loop level in the planar limit using the twisted intersection theory of convex realizations of the accordiohedron polytopes.

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