Constrained Padé ensembles for thermal N = 4 SYM: Quantified uncertainties and next-order predictions
Abstract
We quantify the transition between weak and strong coupling in thermal N = 4 supersymmetric Yang-Mills theory in four space-time dimensions by constructing an of log-aware Padé approximants that incorporate the weak- and strong-coupling expansions through O ( λ 2 ) and O ( λ − 3 / 2 ) ( λ is the ’t Hooft coupling), including the nonanalytic λ 3 / 2 and λ 2 log λ terms. This replaces single-curve estimates with a reproducible uncertainty band and a well-defined central curve across the intermediate regime. The framework is , setting testable benchmarks for forthcoming perturbative and holographic calculations.
Fields of Study & Subjects
Quantum
superfluid
helium dynamics
Advanced Chemical Physics Studies
Mathematical functions and polynomials
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 8
- Publication date
- 31 March 2026
- Language
- EN