Indeed, the practical usage of FeynCalc is conceptually very similar to pen and paper calculations, with all the related merits and drawbacks. These operations can be performed in any order according to the best judgment of the user. The main goal of such packages is to provide the user with an extensive toolbox for symbolic QFT calculations (including, but not limited to, the evaluation of Feynman diagrams), automatizing such common operations as index contractions, matrix chain simplifications, manipulations of loop integrals or summations over polarizations of external particles.
#Feyncalc mathematica 7 software#
Together with Package-X , and HepMath , FeynCalc belongs to the category of software tools for semi-automatic calculations. It has been available to the HEP community for almost three decades and is still actively developed and widely used in various fields of particle physics, ranging from Standard Model (SM) and Beyond Standard Model (BSM) processes to Effective Field Theory (EFT) calculations.
FeynCalc is an open-source Mathematica package that can be used standalone or conveniently integrated in a custom computational setup. This is why we would like to attract the attention of the reader to FeynCalc ,, a tool that is particularly well suited for manipulating Feynman amplitudes in a specific way, where it is important to keep track of each calculational step. Given the sheer multitude of HEP programs that are publicly available or can be obtained upon request by contacting the authors, it may not be easy to decide which tool fits best for one’s project. In practice, different tools are required to automatize different parts of the calculation and it is often far from trivial to interface and employ multiple codes in an efficient, correct and consistent way. In principle, every single step of a typical HEP calculation from deriving Feynman rules for the given Lagrangian till obtaining explicit results for a particular observable can be carried out using computer codes.
For the given theory each Feynman diagram can be converted to an algebraic expression (e. g. scattering amplitude) using a set of well-defined rules (Feynman rules). 14, 631 (2017), arXiv:hep-ph/0609282.įeynman diagrammatic expansion is one of the most common techniques to approach perturbative calculations in modern theoretical high energy physics (HEP). G. Sulyok, A closed expression for the UV-divergent parts of one-loop tensor integrals in dimensional regularization, Phys. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Restrictions: In the case of multi-particle (beyond 1 → 3 and 2 → 3) or multiloop processes, it is not advisable to perform all algebraic evaluations only with FeynCalc and Mathematica. The algorithm of is added to extract UV-poles from scalar 1-loop integrals (Passarino–Veltman functions) with an arbitrary number of external legs. The same goes for FeynArts-generated diagrams with 4-fermion operators. Amplitudes involving Majorana fermions (both written by hand or obtained with FeynArts can be evaluated out-of-the box. Algebraic manipulations of Dirac matrices and spinors with explicit Dirac indices are now available. Summary of revisions: FeynCalc can be loaded with arbitrary packages into the same Mathematica kernel without causing shadowing issues. Reasons for the new version: Highly improved interoperability with other packages, new routines for Dirac algebra and loop integral evaluation. Solution method: The required algorithms and algebraic identities are implemented in Wolfram Mathematica. Nature of problem: Symbolic calculation of Feynman diagrams in particle physics and suitable standalone expressions in Quantum Field Theory. Commun., 207, 432–444, (2016).ĭoes the new version supersede the previous version?: Yes Journal reference of previous version: Comput. Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha.Programming language: Wolfram Mathematica 8 and higherĮxternal routines/libraries: FeynArts Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. Wolfram Data Framework Semantic framework for real-world data.
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