Drag force and heavy quark potential in a rotating background

TL;DR

This paper investigates the effects of rotation on drag force and heavy quark potential in a holographic quark-gluon plasma, revealing that rotation enhances drag and alters quarkonium binding properties.

Contribution

It provides an analytical study of how rotation modifies drag force and quark potential in a holographic model, extending previous non-rotating analyses.

Findings

Drag force increases with rotation

Rotation reduces quarkonium potential depth

Binding force weakens and range extends with rotation

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.