FeynOnium:使用FeynCalc进行非相对论有效场论的自动计算
FeynOnium: Using FeynCalc for automatic calculations in Nonrelativistic Effective Field Theories
摘要:
我们提出了新的结果FeynOstrom,一个正在进行的项目,开发一个通用的软件工具包,半自动符号计算非相对论有效场论(EFTs)。FeynCalc的基础上,现有的Mathematica软件包的符号评价费曼图,我们已经创建了一个强大的框架,自动计算非相对论EFT(NREFT)在树和1-循环水平。这是通过利用FeynCalc的新功能来实现的,该功能支持笛卡尔张量,泡利矩阵和非标准循环积分的操作。在非相对论EFT计算中常见的附加操作在一个名为FeynOstrom的专用插件中实现。虽然我们目前的重点是重夸克的强相互作用的EFT,扩展到其他系统,承认非相对论EFT描述的计划在未来。我们所有的代码都是开源的并公开提供。此外,我们提供了几个例子的计算,演示如何可以采用FeynOdron从文献中重现已知的结果。
英文摘要:
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.
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