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

Abstract We present the Mathematica application DoFun ^1which 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. Title of program: DoFun Catalogue Id: AELN_v1_0 Nature of problem Derivation of functional renormalization group equations and Dyson-Schwinger equations from the given action of a theory. Versions of this program held in the CPC repository in Mendeley Data AELN_v1_0; DoFun; 10.1016/j.cpc.2012.01.014 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)