Drag force and heavy quark potential in a rotating background

Abstract

We explored the gravity dual of a rotating quark-gluon plasma by transforming the boundary coordinates of the large black hole limit of Schwarchild-${\text{AdS}}_5$ metric. The Euler-Lagrange equation of the Nambu-Goto action and its solution become more complex than those without rotation. For small angular velocity, we obtained an analytical form of the drag force acting on a quark moving in the direction of the rotation axis and found it stronger than that without rotation. We also calculated the heavy quark potential under the same approximation. For the quarkonium symmetric with respect to the rotation axis, the depth of the potential is reduced by the rotation. For the quarkonium oriented in parallel to the rotation axis, the binding force is weakened and the force range becomes longer. We also compared our holographic formulation with others in the literature.

30 pages, 4 figures

References in corpus (11)

• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory and QCD
• Inhomogeneous confining-deconfining phases in rotating plasmas
• Deconfining Phase Boundary of Rapidly Rotating Hot and Dense Matter and Analysis of Moment of Inertia
• Phase diagram of holographic thermal dense QCD matter with rotation
• On the velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas
• A class of rotating hairy black holes in arbitrary dimensions
• Inhomogeneous chiral condensation under rotation in the holographic QCD
• Quark-meson model under rotation: A functional renormalization group study
• De Haas - van Alphen Effect under Rotation

Cited by in corpus (4)

• Thermodynamics of heavy quarkonium in the spinning black hole background
• String tension and Polyakov loop in a rotating background
• Heavy quarkonium spectral function in the spinning black hole background
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds