论文标题
Feynonium:使用Feyncalc进行非层次主义有效场理论中的自动计算
FeynOnium: Using FeynCalc for automatic calculations in Nonrelativistic Effective Field Theories
论文作者
论文摘要
我们为Feynonium提供了新的结果,Feynonium是一个正在进行的项目,旨在开发一个通用软件工具包,用于在非依赖性有效领域理论(EFTS)中为半自动符号计算。在Feyncalc的基础上,Feyncalc是用于Feynman图的象征性评估的现有Mathematica软件包,我们创建了一个强大的框架,用于自动化在树和1循环级别的非同性EFT(NREFTS)中的计算。这是通过利用Feyncalc的新功能来实现的,该特征支持笛卡尔张量,保利矩阵和非标准环积分的操纵。在非依赖性EFT计算中常见的其他操作将以称为Feynonium的专用附加组件实施。虽然我们目前的重点是EFT进行重大夸克的强烈相互作用,但针对未来的其他系统进行了扩展,这些系统已计划在未来。我们所有的代码都是开源的,并且可以公开使用。此外,我们提供了几个示例计算,这些计算表明如何使用Feynonium来复制文献中的已知结果。
We present new results on FeynOnium, an ongoing project to develop a general purpose software toolkit for semi-automatic symbolic calculations in nonrelativistic Effective Field Theories (EFTs). Building upon FeynCalc, an existing Mathematica package for symbolic evaluation of Feynman diagrams, we have created a powerful framework for automatizing calculations in nonrelativistic EFTs (NREFTs) at tree- and 1-loop level. This is achieved by exploiting the novel features of FeynCalc that support manipulations of Cartesian tensors, Pauli matrices and nonstandard loop integrals. Additional operations that are common in nonrelativistic EFT calculations are implemented in a dedicated add-on called FeynOnium. While our current focus is on EFTs for strong interactions of heavy quarks, extensions to other systems that admit a nonrelativistic EFT description are planned for the future. All our codes are open-source and publicly available. Furthermore, we provide several example calculations that demonstrate how FeynOnium can be employed to reproduce known results from the literature.