QMeS-derivation is a package to take functional derivatives of Functional Renormalization Group, Dyson-Schwinger, modified Slavnov-Taylor Identities and similar master equations in the context of Quantum Field Theories.
To install the package run
Import["https://raw.githubusercontent.com/QMeS-toolbox/QMeS-Derivation/main/QMeSInstaller.m"];
A simple example is given by fRG flow equation of the two-point function in a
<<"QMeSderivation`"
masterEquation = {"Prefactor" -> {1/2},
<|"type" -> "Regulatordot", "indices" -> {a, b}|>,
<|"type" -> "Propagator", "indices" -> {a, b}|>
};
fields = <|"bosonic" -> {phi[p]}|>;
truncation = {{phi, phi}, {phi, phi, phi}, {phi, phi, phi, phi}};
setup = <|"MasterEquation" -> masterEquation, "FieldSpace" -> fields, "Truncation" -> truncation|>;
DeriveFunctionalEquation[setup, {phi[-p], phi[p]}, "OutputLevel" -> "FullDiagrams"]
Futher details and examples can be found in the correspond publication (arXiv:2102.01410) and the examples
If used in scientific publications, please cite the corresponding paper,
Jan M. Pawlowski, Coralie S. Schneider and Nicolas Wink.
arXiv:2102.01410 [hep-ph].
or as bibtex entry
@article{Pawlowski:2021tkk,
author = "Pawlowski, Jan M. and Schneider, Coralie S. and Wink, Nicolas",
title = "{QMeS-Derivation: Mathematica package for the symbolic derivation of functional equations}",
eprint = "2102.01410",
archivePrefix = "arXiv",
primaryClass = "hep-ph",
month = "2",
year = "2021"
}