Spatial scalar correlator in strongly coupled hot N=4 Yang-Mills theory

TL;DR

This paper employs AdS/CFT duality to compute the finite temperature spatial correlator of a scalar operator in N=4 Yang-Mills theory, comparing it with perturbative results in finite temperature SU(N_c) Yang-Mills theory.

Contribution

It provides a non-perturbative calculation of the scalar correlator at finite temperature using holography, bridging strong and weak coupling analyses.

Findings

Holographic computation of the scalar correlator at finite temperature.

Comparison with perturbative Yang-Mills results.

Insights into the behavior of correlators in strongly coupled plasma.

Abstract

We use AdS/CFT duality to compute in 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 SU(N_c) Yang-Mills theory.