English

Transition from weak to strong coupling in thermal gauge theories: Lessons from ${\cal N}=4$ SYM Theory

High Energy Physics - Theory 2025-07-22 v2 High Energy Physics - Phenomenology Nuclear Theory

Abstract

We investigate the transition between weak and strong coupling in thermal N=4{\cal N}=4 supersymmetric Yang-Mills (SYM) theory as a function of 't Hooft coupling λ\lambda for several quantities of phenomenological interest for which next-to-leading order calculations are available in both regimes. We use Pad\'e approximants to interpolate between the weak and strong coupling expansions and determine the location and width of the transition between the asymptotic regimes.

Keywords

Cite

@article{arxiv.2507.06845,
  title  = {Transition from weak to strong coupling in thermal gauge theories: Lessons from ${\cal N}=4$ SYM Theory},
  author = {Berndt Müller},
  journal= {arXiv preprint arXiv:2507.06845},
  year   = {2025}
}