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September 10, 2025Open Access

Transition from weak to strong coupling in thermal gauge theories: Lessons from N=4 SYM theory

Key Points

The study identifies the transition location between weak and strong coupling in N=4 supersymmetric Yang-Mills theory.
Using Padé approximants, the analysis addresses next-to-leading order calculations in both regimes.
This examination of the coupling transitions is critical for understanding thermal gauge theories overall.
The results indicate the width of the transition, providing insights for future investigations in thermal contexts.

Abstract

We investigate the transition between weak and strong coupling in thermal N=4 supersymmetric Yang-Mills theory as a function of ’t Hooft coupling λ for several quantities of phenomenological interest for which next-to-leading order calculations are available in both regimes. We use Padé approximants to interpolate between the weak and strong coupling expansions and determine the location and width of the transition between the asymptotic regimes.

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