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

M. Q. Huber
Jens Braun
Journal / Anthology

Computer Physics Communications
Year: 2012
Volume: 183
Issue: 6
Page range: 1290-1320

We present the Mathematica application DoFun1 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.