Aspects of the Screening Length and Drag Force in Two Alternative Gravity Duals of the Quark-gluon Plasma

Abstract

We compute the screening length of mesons with different angular momentum $J$ from two gravity dual theories. Both the asymptotically $Ad{S}_5$ and Sakai-Sugimoto metrics are considered in the calculations. Using the dual description of the quark as a classical string ending on the probe brane, we obtain the interacting potential between the heavy quark and antiquark after rotating the background metric. The result shows that the screening length of mesons with different $J$ is well fit to $a_J/T$. The constant $a_J$ is determined for $J=0,1,2$ by taking advantage of numerical techniques. Finally, we calculate the drag force and relaxation times from the Sakai-Sugimoto metric and compare with the ones obtained in the $Ad{S}_5$. The application of our result to charmonium and bottomonium at RHIC and LHC is briefly discussed.

18 pages, 6 figures, 2 tables, version to appear in JHEP, acknowledgment added

References in corpus (6)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Drag force in AdS/CFT
• Holographic melting and related properties of mesons in a quark gluon plasma
• Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory and QCD
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• Heavy Quarkonium States with the Holographic Potential
• Exotic Multi-quark States in the Deconfined Phase from Gravity Dual Models
• Effective Quark Antiquark Potential in the Quark Gluon Plasma from Gravity Dual Models
• Comments on holographic star and the dual QGP
• On Melting Temperature of Heavy Quarkonium with the AdS/CFT Implied Potential
• Effects of hyperscaling violation and dynamical exponents on heavy quark potential and jet quenching parameter
• Drag force on a moving heavy quark with deformed string configuration
• Thermal Width of Quarkonium from Holography