Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\N=4$ Yang Mills Theory

Details Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\N=4$ Yang Mills Theory Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\N=4$ Yang Mills Theory

2006-02-06

arxiv.org/abs/hep-ph/0602044v1

Phys.Rev. D74 (2006) 045025

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 3 figures

Scientific paper

10.1103/PhysRevD.74.045025

We compute spectral densities of momentum and R-charge correlators in thermal $\N=4$ Yang Mills at strong coupling using the AdS/CFT correspondence. For $\omega \sim T$ and smaller, the spectral density differs markedly from perturbation theory; there is no kinetic theory peak. For large $\omega$, the spectral density oscillates around the zero-temperature result with an exponentially decreasing amplitude. Contrast this with QCD where the spectral density of the current-current correlator approaches the zero temperature result like $(T/\omega)^4$. Despite these marked differences with perturbation theory, in Euclidean space-time the correlators differ by only $\sim 10%$ from the free result. The implications for Lattice QCD measurements of transport are discussed.

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