8.26 讲座 | Mathematica 软件包 FeynCalc 在量子场论应用中的最新功能

报告简介

FeynCalc （https://feyncalc.github.io/）是用于符号量子场理论（QFT）计算的流行的 Mathematica 工具包。最近发布的9.3版中引入的最令人兴奋的新功能之一是能够处理非相对论（NR）量，例如 3-向量，Pauli 矩阵或笛卡尔回路积分。这些功能对于 FeynCalc 在自然有效场理论（NREFT） 中的应用特别有用。其他明显的改进包括对费恩曼图的更好支持，该费曼图涉及 4 个费米子算符或 Majorana 旋子，以及内置的自动确定任意 Passarino-Veltman 函数的 UV 发散部分的功能。

演讲的主要目的是介绍和解释 FeynCalc 9.3 的新功能及其以 NREFT 为中心的新附加产品 FeynOnium。此外，我们想提供一些建议，以便在实际计算中有效使用该软件包。

FeynCalc is a popular Mathematica toolkit for symbolic Quantum Field Theory (QFT) T) calculations.One of of the most exciting new features introduced in the recently released version 9.3 is the ability to manipulate nonrelativistic (NR) quantities such as 3-vectors, Pauli matrices or Cartesian loop integrals. These facilities are particularly useful for the applications of FeynCalc in NR effective field theories (NREFTs). Other noticeable improvements include better support for Feynman diagrams involving 4-fermion operators or Majorana spinors as well as the built-in automatic determination of UV-divergent parts of arbitrary Passarino-Veltman functions. The main purpose of this talk is to present and explain new capabilities of FeynCalc 9.3 and its new NREFT-centerd add-on FeynOnium. Furthermore, we would like to provide some recommendations for an efficient use of the package in practical calculations. 参考文献：arXiv:2001.04407, arXiv:2006.15451