Tropical Amplitudes For Colored Lagrangians
arxiv(2024)
摘要
Recently a new formulation for scattering amplitudes in Tr(Φ^3) theory
has been given based on simple combinatorial ideas in the space of kinematic
data. This allows all-loop integrated amplitudes to be expressed as ”curve
integrals” defined using tropical building blocks - the ”headlight
functions”. This paper shows how the formulation extends to the amplitudes of
more general Lagrangians. We will present a number of different ways of
introducing tropical ”numerator functions” that allow us to describe general
Lagrangian interactions. The simplest family of these ”tropical numerators”
computes the amplitudes of interesting Lagrangians with infinitely many
interactions. We also describe methods for tropically formulating the
amplitudes for general Lagrangians. One uses a variant of ”Wick contraction”
to glue together numerator factors for general interaction vertices. Another
uses a natural characterization of polygons on surfaces to give a novel
combinatorial description of all possible diagrams associated with arbitrary
valence interactions.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要