Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations

作者：Huber Markus Q^*; Braun Jens

来源：Computer Physics Communications, 2012, 183(6): 1290-1320.

DOI：10.1016/j.cpc.2012.01.014

• Dyson-Schwinger equations
• Functional renormalization group equations
• Correlation functions
• Quantum field theory

We present the Mathematica application DoFun(1) which allows to derive Dyson-Schwinger 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) theory and the Gross-Neveu model. %26lt;br%26gt;Program summary %26lt;br%26gt;Program title: DoFun %26lt;br%26gt;Catalogue identifier: AELN_v1_0 %26lt;br%26gt;Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AELN_v1_0.html %26lt;br%26gt;Program obtainable from: CPC Program Library, Queen%26apos;s University, Belfast, N. Ireland %26lt;br%26gt;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 %26lt;br%26gt;Distribution format: tar.gz %26lt;br%26gt;Programming language: Mathematica 7 and higher %26lt;br%26gt;Computer: PCs and workstations %26lt;br%26gt;Operating system: All on which Mathematica is available (Windows, Unix, MacOS) %26lt;br%26gt;Classification: 11.1, 11.4, 11.5, 11.6 %26lt;br%26gt;Nature of problem: Derivation of functional renormalization group equations and Dyson-Schwinger equations from the action of a given theory. %26lt;br%26gt;Solution method: Implementation of an algorithm to derive functional renormalization group and Dyson-Schwinger equations. %26lt;br%26gt;Unusual features: The results can be plotted as Feynman diagrams ill Mathematica. The output is compatible with the syntax of many other programs and is therefore suitable for further (algebraic) computations.

• 出版日期2012-6