Algorithmic derivation of Dyson-Schwinger Equations

Details Algorithmic derivation of Dyson-Schwinger Equations Algorithmic derivation of Dyson-Schwinger Equations

2008-08-21

arxiv.org/abs/0808.2939v2

Comput.Phys.Commun.180:965-976,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 11 figures, downloadable Mathematica package v2: adapted to version 1.2 of DoDSE package with simplified handling an

Scientific paper

10.1016/j.cpc.2008.12.009

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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