The authors construct an admissible ensemble of log-aware Padé approximants incorporating weak- and strong-coupling expansions through O(λ²) and O(λ^{-3/2}) for thermal N=4 SYM, yielding quantified uncertainty bands and a central curve across the intermediate coupling regime.
At strong coupling it reproduces f→ 3/4 and the λ−3/2 correction S3/2 = 15 8 ζ(3), with the absence of λ−1/2 and λ−1 enforced
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Constrained Pad\'e Ensembles for Thermal N=4 SYM: Quantified Uncertainties and Next-Order Predictions
The authors construct an admissible ensemble of log-aware Padé approximants incorporating weak- and strong-coupling expansions through O(λ²) and O(λ^{-3/2}) for thermal N=4 SYM, yielding quantified uncertainty bands and a central curve across the intermediate coupling regime.