Algorithmic derivation of Dyson-Schwinger Equations
High Energy Physics - Theory
2009-12-04 v2
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.
Keywords
Cite
@article{arxiv.0808.2939,
title = {Algorithmic derivation of Dyson-Schwinger Equations},
author = {Reinhard Alkofer and Markus Q. Huber and Kai Schwenzer},
journal= {arXiv preprint arXiv:0808.2939},
year = {2009}
}
Comments
17 pages, 11 figures, downloadable Mathematica package v2: adapted to version 1.2 of DoDSE package with simplified handling and improved plotting of graphs; references added