English

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

High Energy Physics - Theory 2012-02-09 v2 Other Condensed Matter High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.1102.5307,
  title  = {Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations},
  author = {Markus Q. Huber and Jens Braun},
  journal= {arXiv preprint arXiv:1102.5307},
  year   = {2012}
}

Comments

40 pages, 12 figs.; corresponds to published version

R2 v1 2026-06-21T17:32:07.288Z