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arxiv: hep-ph/9708219 · v4 · submitted 1997-08-02 · ✦ hep-ph

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Perturbative Finite-Temperature Results and Pad'e Approximants

Boris Kastening (Universitaet Freiburg)
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classification ✦ hep-ph
keywords approximantsperturbativeresultsbehaviorconvergencefieldfinitefinite-temperature
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Pad'e approximants are used to improve the convergence behavior of perturbative results in massless scalar and gauge field theories at finite temperature.

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  1. Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$

    hep-ph 2026-01 conditional novelty 4.0

    Asymptotic Padé approximants validated on five-loop QCD data now yield six-loop QCD beta-function and quark-mass anomalous-dimension predictions plus eight-loop results in scalar theory.