Journal article

DoFun 3.0: Functional equations in mathematica


Authors listHuber, Markus Q.; Cyrol, Anton K.; Pawlowski, Jan M.

Publication year2020

JournalComputer Physics Communications

Volume number248

ISSN0010-4655

eISSN1879-2944

Open access statusGreen

DOI Linkhttps://doi.org/10.1016/j.cpc.2019.107058

PublisherElsevier


Abstract

We present version 3.0 of the Mathematica package DoFun for the derivation of functional equations. In this version, the derivation of equations for correlation functions of composite operators was added. In the update, the general workflow was slightly modified taking into account experience with the previous version. In addition, various tools were included to improve the usage experience and the code was partially restructured for easier maintenance.

Program summary

Program Title: DoFun

Program Files doi: http://dx.doLorg/10.17632/y7rwzywr6w.1

Licensing provisions: GPLv3

Programming language: Mathematica, developed in version 11.3

Nature of problem: Derivation of functional renormalization group equations, Dyson-Schwinger equations and equations for correlations functions of composite operators in symbolic form which can be translated into algebraic forms.

Solution method: Implementation of algorithms for the derivations of these equations and tools to transform the symbolic to the algebraic form.

Unusual features: The results can be plotted as Feynman diagrams in Mathematica. The output is compatible with the syntax of many other programs and is therefore suitable for further (algebraic) computations. (C) 2019 Elsevier B.V. All rights reserved.




Citation Styles

Harvard Citation styleHuber, M., Cyrol, A. and Pawlowski, J. (2020) DoFun 3.0: Functional equations in mathematica, Computer Physics Communications, 248, Article 107058. https://doi.org/10.1016/j.cpc.2019.107058

APA Citation styleHuber, M., Cyrol, A., & Pawlowski, J. (2020). DoFun 3.0: Functional equations in mathematica. Computer Physics Communications. 248, Article 107058. https://doi.org/10.1016/j.cpc.2019.107058



Keywords


Composite operatorsCorrelation functionsDysoz-Schwinger equationsFEYNCALCFunctional renormalization group equationsINFRARED BEHAVIORQCDQuantum field theory

Last updated on 2025-10-06 at 11:08