Frequency and wave number dependence of the shear correlator in strongly coupled hot Yang-Mills theory

TL;DR

This paper uses AdS/QCD duality to analyze how temperature and other scales influence the shear correlator in hot Yang-Mills theory, revealing significant effects near the transition temperature that diminish at higher temperatures.

Contribution

It provides a comprehensive calculation of the shear correlator across all frequencies and momenta, incorporating effects of physical scales in a holographic model.

Findings

Significant deviations from conformal behavior near T_c

Rapid disappearance of effects at higher T

Potential for strong agreement with lattice QCD data

Abstract

We use AdS/QCD duality to compute the finite temperature Green's function G(omega,k;T) of the shear operator T_12 for all omega,k in hot Yang-Mills theory. The goal is to assess how the existence of scales like the transition temperature and glueball masses affects the correlator computed in the scalefree conformal N=4 supersymmetric Yang-Mills theory. We observe sizeable effects for T close to T_c which rapidly disappear with increasing T. Quantitative agreement of these predictions with future lattice Monte Carlo data would suggest that QCD matter in this temperature range is strongly interacting.