دانلود رایگان مقاله تحولات جدید در FeynCalc 9.0

Abstract

In this note we report on the new version of FeynCalc, a Mathematica package for symbolic semi-automatic evaluation of Feynman diagrams and algebraic expressions in quantum field theory. The main features of version 9.0 are: improved tensor reduction and partial fractioning of loop integrals, new functions for using FeynCalc together with tools for reduction of scalar loop integrals using integration-by-parts (IBP) identities, better interface to FeynArts and support for SU(N) generators with explicit fundamental indices.

5. Summary

We have presented new features and improvements in FeynCalc 9.0 and discussed cases in which FeynCalc can be used to obtain new results. Although the very first version of FeynCalc appeared almost 25 years ago, the development is still far from complete. New developments in theoretical particle physics show possible directions in which FeynCalc can evolve. This includes better support for multi-loop calculations and determination of matching coefficients in effective field theories, but also built-in interfaces to other useful software tools and the ability to work with non-relativistic theories. Finally, we would like to observe that in the last two years some new general-purpose packages [24,25] for QFT calculations were released, which follow the approach similar to that of FeynCalc and thus provide a comparable level of flexibility. This development shows that even in the age of fully automatic packages for 1-loop calculations, user-friendly, semi-automatic tools like FeynCalc are still in demand and employed in many interesting research projects.