Constrained Padé Ensembles for Thermal $\mathcal{N}{=}4$ SYM with the Exact $\mathcal O(λ^{5/2})$ Coefficient
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
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2026
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| _version_ | 1866913041078026240 |
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| author | Tantary, Ubaid Du, Qianqian |
| author_facet | Tantary, Ubaid Du, Qianqian |
| contents | We revisit the constrained log-subtracted two-point Padé (LSTP) ensemble for thermal $\mathcal{N}=4$ supersymmetric Yang--Mills (SYM) thermodynamics in four spacetime dimensions after upgrading the weak-coupling truncation from $\mathcal{O}(λ^2)$ to the exact $\mathcal{O}(λ^{5/2})$ coefficient. We keep the interpolation ansatz unchanged and shift the weak-side matching points to the regime where the new term is numerically significant. The admissible set collapses from $9$ nominal survivors ($3$ distinct curves) to a single distinct curve, the crossover range shrinks to a unique value, and the pointwise band width drops to zero within numerical resolution. The Hermite-Padé (HP) central curve does not coincide with the unique LSTP survivor, so the exact weak-coupling coefficient removes the LSTP scan uncertainty but not the difference between the two routes. The next step is to compute the unknown $\mathcal{O}(λ^{-3})$ strong-coupling coefficient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_16109 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Constrained Padé Ensembles for Thermal $\mathcal{N}{=}4$ SYM with the Exact $\mathcal O(λ^{5/2})$ Coefficient Tantary, Ubaid Du, Qianqian High Energy Physics - Theory We revisit the constrained log-subtracted two-point Padé (LSTP) ensemble for thermal $\mathcal{N}=4$ supersymmetric Yang--Mills (SYM) thermodynamics in four spacetime dimensions after upgrading the weak-coupling truncation from $\mathcal{O}(λ^2)$ to the exact $\mathcal{O}(λ^{5/2})$ coefficient. We keep the interpolation ansatz unchanged and shift the weak-side matching points to the regime where the new term is numerically significant. The admissible set collapses from $9$ nominal survivors ($3$ distinct curves) to a single distinct curve, the crossover range shrinks to a unique value, and the pointwise band width drops to zero within numerical resolution. The Hermite-Padé (HP) central curve does not coincide with the unique LSTP survivor, so the exact weak-coupling coefficient removes the LSTP scan uncertainty but not the difference between the two routes. The next step is to compute the unknown $\mathcal{O}(λ^{-3})$ strong-coupling coefficient. |
| title | Constrained Padé Ensembles for Thermal $\mathcal{N}{=}4$ SYM with the Exact $\mathcal O(λ^{5/2})$ Coefficient |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.16109 |