English

QMeS-Derivation: Mathematica package for the symbolic derivation of functional equations

High Energy Physics - Phenomenology 2022-02-09 v2 High Energy Physics - Theory Computational Physics

Abstract

We present the Mathematica package QMeS-Derivation. It derives symbolic functional equations from a given master equation. The latter include functional renormalisation group equations, Dyson-Schwinger equations, Slavnov-Taylor and Ward identities and their modifications in the presence of momentum cutoffs. The modules allow to derive the functional equations, take functional derivatives, trace over field space, apply a given truncation scheme, and do momentum routings while keeping track of prefactors and signs that arise from fermionic commutation relations. The package furthermore contains an installer as well as Mathematica notebooks with showcase examples.

Keywords

Cite

@article{arxiv.2102.01410,
  title  = {QMeS-Derivation: Mathematica package for the symbolic derivation of functional equations},
  author = {Jan M. Pawlowski and Coralie S. Schneider and Nicolas Wink},
  journal= {arXiv preprint arXiv:2102.01410},
  year   = {2022}
}

Comments

18 pages, 4 figures