Algorithmic derivation of functional renormalization group equations and DysonSchwinger equations ?
We present the Mathematica application DoFun 1 which allows to derive DysonSchwinger equations and renormalization group flow equations for n-point functions in a simple manner. DoFun offers several tools which considerably simplify the derivation of these equations from a given physical action. We discuss the application of DoFun  by means of two different types of quantum field theories, namely a bosonic O(N) O ( N ) theory and the GrossNeveu model. Program title:DoFun Catalogue identifier: AELN_v1_0 Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AELN_v1_0.html Program obtainable from: CPC Program Library, Queen?s University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 35?506 No. of bytes in distributed program, including test data, etc.: 571?837 Distribution format: tar.gz Programming language: Mathematica 7 and higher Computer: PCs and workstations Operating system: All on which Mathematica is available (Windows, Unix, MacOS) Classification: 11.1, 11.4, 11.5, 11.6 Nature of problem: Derivation of functional renormalization group equations and DysonSchwinger equations from the action of a given theory. Solution method: Implementation of an algorithm to derive functional renormalization group and DysonSchwinger equations. 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. Running time: Seconds to minutes
functional renormalization group equations dysonschwinger equations quantum field theory correlation functions