发表机构
School of Natural Sciences, Institute for Advanced Study(自然科学与院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文介绍 Mathematica 软件包 colour_tensors,用于具体构造任意规范理论中任意带电粒子的显式颜色张量,以确定其线性关系并计算散射振幅中的颜色干涉等表示论量。
AI 中文摘要
我们描述了 colour_tensors 的实现和使用:这是一个 Mathematica 软件包,用于具体构造任意规范理论中涉及任意带电粒子的显式颜色张量。这些张量可直接用于确定颜色张量之间的线性关系,并计算若干原本困难的、与散射振幅相关的表示论量,例如部分振幅之间的颜色干涉。
英文摘要
We describe the implementation and use of colour_tensors: a Mathematica package built for the concrete construction of explicit colour tensors involving arbitrarily charged particles in any gauge theory. These can be used to directly determine linear relations among colour tensors and compute a number of otherwise difficult, representation-theoretic quantities relevant to scattering amplitudes such as colour-interference between partial amplitudes.
Comments92 pages, 249 figures; Mathematica package colour_tensors.m and demonstration notebook attached as ancillary files