Algorithmic derivation of functional renormalization group equations and Dyson–Schwinger equations Original Research Article

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 image theory and the Gross–Neveu model.