Padé interpolation between NLO weak- and strong-coupling results places the thermal N=4 SYM transition region at 't Hooft coupling λ roughly between 3 and 14.
Jet quenching at finite `t Hooft coupling and chemical potential from AdS/CFT
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Following the nonperturbative prescription for the jet quenching parameter recently proposed by Liu, Rajagopal and Wiedemann, we compute the first correction in the inverse `t Hooft coupling corresponding to string alpha' corrections in the dual background. We also consider the introduction of a chemical potential for the U(1)^3 gauged R-symmetry. While the former mildly diminishes the jet quenching parameter -this suggesting a smooth interpolation between the strong coupling and perturbative results-, the latter generically increases its value. We comment on the extension of this setup to quarks of finite mass.
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Transition from weak to strong coupling in thermal gauge theories: Lessons from ${\cal N}=4$ SYM Theory
Padé interpolation between NLO weak- and strong-coupling results places the thermal N=4 SYM transition region at 't Hooft coupling λ roughly between 3 and 14.