Screening Length of Rotating Heavy Meson from AdS/CFT

TL;DR

This paper investigates the screening length of a rotating quark-antiquark pair in a thermal plasma using AdS/CFT, revealing its velocity dependence aligns with known theoretical formulas.

Contribution

It provides a numerical calculation of the screening length for a rotating meson in AdS/CFT, extending previous static analyses to include rotation and velocity effects.

Findings

Screening length decreases with increasing velocity.

Velocity dependence matches the formula $L_s T o (1-v^{2})^{1/4}$.

Numerical results support theoretical predictions.

Abstract

In this paper we consider a quark-antiquark ($q\bar{q}$) pair which can be interpreted as a meson in ${\mathcal{N}}$=4 SYM thermal plasma. We assume that the string moves at speed $v$ and rotates around its center of mass simultaneously. By using the AdS/CFT correspondence, we obtain the momentum densities of the rotating string and determine its motion for small angular velocities. Then in general case, we calculate the screening length of $q\bar{q}$ pair numerically and show that its velocity dependance is in consistent with the well known formula $L_s T\sim (1-v^{2})^{1/4}$ in the literature.