We use anti–de Sitter/CFT duality to compute in $\mathcal{N}=4$ Yang-Mills theory the finite temperature spatial correlator $G(r)$ of the scalar operator $F^2$, integrated over imaginary time. The computation is carried out both at zero frequency and integrating the spectral function over frequencies. The result is compared with a perturbative computation in finite $T$ $\mathrm{SU}(N_c)$ Yang-Mills theory.

• Received 16 December 2010

DOI:https://doi.org/10.1103/PhysRevD.83.066003