Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations

Details Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations

2011-02-25

arxiv.org/abs/1102.5307v2

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 12 figs.; corresponds to published version

Scientific paper

10.1016/j.cpc.2012.01.014

We present the Mathematica application DoFun which allows to derive Dyson-Schwinger equations and renormalization group flow equations for n-point functions in a simple manner. DoFun offers several tools which considerably simplify the derivation of these equations from a given physical action. We discuss the application of DoFun by means of two different types of quantum field theories, namely a bosonic O(N) theory and the Gross-Neveu model.

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