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.
(A1) We subtract the weak-side logarithm with χ(λ; Λ0, p) = 1/(1 + ( λ/Λ0)p) and approximate the residual by P4(z)/Q4(z) with z from Eq
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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.