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A Refined Difference Field Theory for Symbolic Summation

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arxiv 0808.2543 v1 pith:QCRNUGFG submitted 2008-08-19 cs.SC math-phmath.COmath.MP

Carsten Schneider This is my paper · ORCID
classification cs.SCmath-phmath.COmath.MP
keywords fieldtheoryalgorithmsdifferencerefinedsummationappliedapproach
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In this article we present a refined summation theory based on Karr's difference field approach. The resulting algorithms find sum representations with optimal nested depth. For instance, the algorithms have been applied successively to evaluate Feynman integrals from Perturbative Quantum Field Theory.

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Cited by 1 Pith paper

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  1. The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements

    hep-ph 2019-08 conditional novelty 5.0 of 10

    The authors recompute the T_F-proportional pieces of the polarized three-loop QCD anomalous dimensions using massive operator matrix elements and find full agreement with the published 2014 results.

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