Effective Quark Antiquark Potential in the Quark Gluon Plasma from Gravity Dual Models

Abstract

We estimate the effective heavy quark and antiquark potential in the quark gluon plasma using the gravity dual theory. Two models are considered: $Ad{S}_5$ and Sakai-Sugimoto model. The effective potential, obtained by using the rotating fundamental open-string configurations, has the angular momentum dependence which generalizes the static central potential. Motivated by the asymptotic form for zero angular momentum state, we fit the effective potential for $J=1,2$ states in the binding region. The fitting parameters are found to be functions of temperature. Finally, we discuss the differences and similarities of the effective potential between the two gravity dual models. An interesting result is that position of the minimum of potential is determined only by angular momentum and independent of the temperature.

23 pages, 12 figures, 3 tables, subsection on mass dependence of the potential added

References in corpus (3)

• Holographic melting and related properties of mesons in a quark gluon plasma
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• Aspects of the Screening Length and Drag Force in Two Alternative Gravity Duals of the Quark-gluon Plasma

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• Heavy quarks in the presence of higher derivative corrections from AdS/CFT
• Exotic Multi-quark States in the Deconfined Phase from Gravity Dual Models
• Magnetic properties of holographic multiquarks in the quark-gluon plasma