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

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arxiv 2102.01410 v2 pith:OAHQKDPN submitted 2021-02-02 hep-ph hep-thphysics.comp-ph

classification hep-phhep-thphysics.comp-ph
keywords equationsfunctionalmathematicapackagegivenmomentumqmes-derivationsymbolic
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. DiFfRG: A Discretisation Framework for functional Renormalisation Group flows

    hep-ph 2024-12 conditional novelty 6.0 of 10

    DiFfRG provides a general, code-generated numerical toolkit for fRG flows, demonstrated on O(N), Quark-Meson, Yang-Mills, and four-fermion systems.

  2. A beginner's guide to functional methods in particle physics

    hep-ph 2025-10 accept novelty 1.0 of 10

    A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.

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