Algorithmic derivation of Dyson–Schwinger equations

Published: 01-06-2009| Version 1 | DOI: 10.17632/krf48mrjz6.1
R. Alkofer,
Markus Huber,
K. Schwenzer


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^1which 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. Title of program: DoDSE Catalogue Id: AECT_v1_0 Nature of problem Derivation of Dyson-Schwinger equations for a theory with given interactions. Versions of this program held in the CPC repository in Mendeley Data AECT_v1_0; DoDSE; 10.1016/j.cpc.2008.12.009 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)