AdS black holes and thermal Yang-Mills correlators

We study the real time correlators of scalar glueball operators for Yang-Mills the- ory at finite temperature in flat space. The analytic structure of the frequency space propagator in perturbative field theory is seen to be qualitatively different to the strong coupling results that may be obtained from perturbations about AdS black hole space- times: we find branch cuts rather than poles. This difference appears to persist away from the strict zero and infinite coupling limits, possibly suggesting a phase transition in large N thermal N = 4 SYM theory as a function of the ’t Hooft coupling