Running coupling constant and jet quenching parameter in the spinning background from holography

TL;DR

This work probes how rotation in a strongly coupled quark-gluon plasma affects heavy quark dynamics using holography. It employs spinning Myers-Perry black holes, effectively boosted black branes, to model a rigidly rotating boundary fluid and analyzes both transverse and parallel $Q\overline{Q}$ configurations. The running coupling constant is extracted from the heavy quark free energy via $\alpha = \frac{3L^{2}}{4}\frac{dF_{Q\overline{Q}}}{dL}$, while the jet quenching parameter is computed from a lightlike Wilson loop with $\hat{q} = \frac{1}{\pi\alpha'}\frac{1}{I}$; the results show angular momentum suppresses $\alpha(L)$ and lowers its maximum, whereas it enhances $\hat{q}$, especially for jets moving transverse to the rotation. These findings link rotation to anisotropic transport and dissociation tendencies in the strongly coupled QGP, with implications for how $\eta/s$ behaves under rotation.

Abstract

In this work, we study the running coupling constant of heavy quark pair and jet quenching parameter in the spinning background. Ultra-locally, the boosted fluid is described by the boosted parameter and dual to a globally rotating system. Our results show that the angular momentum suppresses the running coupling constant and reduces its maximum value. The results demonstrate that the angular momentum promotes the dissociation of quarkonium and has a stronger effect on the running coupling constant when the axis of $Q\overline{Q}$ is transverse to the direction of the angular momentum. We also find that the angular momentum enhances the jet quenching parameter and has a stronger effect when the jet moves transversely to the direction of the angular momentum, namely $\hat{q}_{\perp}> \hat{q}_{\parallel}$. We discuss the dependence of the jet quenching parameter on the $η/s$ at strong coupling in the presence of the angular momentum.

Figures (2)

• Figure 1: Running coupling constant of $Q\overline{Q}$ versus interquark distance $L$ with different boost parameter $a$. From top to bottom $a = 0.1,\ 0.2,\ 0.3$, respectively. The solid line (dashed line) represents the parallel (transverse) case.
• Figure 2: Jet quenching parameter $\hat{q}/ T^3$ versus boost parameter $a$. The solid line (dashed line) represents the $\hat{q}_\parallel$ ($\hat{q}_\perp$).