Algorithmic derivation of Dyson-Schwinger Equations
Reinhard Alkofer, Markus Q. Huber, Kai Schwenzer
TL;DR
This paper introduces an algorithm and a Mathematica package called DoDSE for automatically deriving Dyson-Schwinger equations in various theories, facilitating symbolic computations in quantum field theory.
Contribution
The paper presents a novel algorithm and a software tool that automate the derivation of Dyson-Schwinger equations, enhancing efficiency and accessibility for theoretical physics research.
Findings
Successfully derives Dyson-Schwinger equations for multiple theories
Provides a user-friendly Mathematica package for symbolic derivation
Demonstrates the application of the algorithm with example theories
Abstract
We present an algorithm for the derivation of Dyson-Schwinger equations of general theories that is suitable for an implementation within a symbolic programming language. Moreover, we introduce the Mathematica package DoDSE which provides such an implementation. It derives the Dyson-Schwinger equations graphically once the interactions of the theory are specified. A few examples for the application of both the algorithm and the DoDSE package are provided. The package can be obtained from physik.uni-graz.at/~mah/DoDSE.html.
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