On the internal space dependence of the static quark-antiquark potential in $\mathcal{N}=4$ SYM plasma wind

Abstract

We study the effect of the relative S^5-angle of a quark and an antiquark on their static potential and the related screening length in a strongly coupled moving $\mathcal{N}=4$ SYM plasma. The large velocity scaling law for the screening length holds for any relative S^5-angle $\theta$. However, the velocity independent prefactor Z strongly depends on $\theta$. For comparison with QCD we propose to average Z over all relative orientations on S^5. This generates a suppression factor relative to the case $\theta =0$.

arXiv comment7 pages, 3 figures, reference and comment added,

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• The Spatial String Tension in the Deconfined Phase of SU(N) Gauge Theory and Gauge/String Duality
• Heavy Quarkonium States with the Holographic Potential
• Drag and jet quenching of heavy quarks in a strongly coupled N=2* plasma
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds