DoFun is a Mathematica package for deriving various types of functional equations:
- Derivation of Dyson-Schwinger equations
- Derivation of functional renormalization group equations
- Derivation of equations for correlation functions of composite operators
- General framework for handling functional expressions
- Simplistic automated plotting of Feynman diagrams
- Conversion of symbolic expressions into algebraic ones
The code can be found in a GitHub repository.
The following papers contain more information:
- Markus Q. Huber, Anton K. Cyrol, Jan M. Pawlowski, DoFun 3.0: Functional equations in Mathematica, Comput.Phys.Commun. 248 (2020) 107058, arXiv:1908.02760 [hep-ph]
- Markus Q. Huber, Jens Braun, Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations, Comput.Phys.Commun. 248 (2020) 107058, arXiv:1102.5307 [hep-th]
- Reinhard Alkofer, Markus Q. Huber, Kai Schwenzer, Algorithmic derivation of Dyson-Schwinger Equations, Comput.Phys.Commun. 183 (2012) 1290-1320, arXiv:0808.2939 [hep-th]