Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
arXiv:1102.5307 · doi:10.1016/j.cpc.2012.01.014
Abstract
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.
40 pages, 12 figs.; corresponds to published version