2021/02/02 by Jan Μ. Pawlowski, Pawlowski, Jan M., Coralie S. Schneider +3 · 3 citations
Computer Science · Mathematics · #Computational Physics (physics.comp-ph) #Distributed and Parallel Computing Systems #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematics, Computing, and Information Processing #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.2102.01410
openalex publication_date 2021/02/02 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
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.