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

Berndt Müller

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Phys. Rev. D 112, 054007 – Published 8 September, 2025

DOI: https://doi.org/10.1103/ydky-cfb9

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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Phys. Rev. D 112, 054007– Published 8 September, 2025
  • Received 22 July 2025
  • Accepted 14 August 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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