Drag force in strongly coupled $\mathcal{N}=4$ SYM plasma in a magnetic field

TL;DR

This paper investigates how a constant magnetic field influences the drag force on a heavy quark moving through a strongly-coupled $ ext{N}=4$ SYM plasma using AdS/CFT, revealing linear dependencies and directional effects.

Contribution

It provides the first analysis of magnetic field effects on quark drag force in strongly-coupled plasma via holography, highlighting directional dependence and linear behavior in strong fields.

Findings

Drag force depends linearly on magnetic field in transverse case.

Drag force increases monotonically with magnetic field in parallel case.

Magnetic field has a more significant effect in the transverse orientation.

Abstract

Applying AdS/CFT correspondence, we study the effect of a constant magnetic field $\mathcal{B}$ on the drag force associated with a heavy quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM) plasma. The quark is considered moving transverse and parallel to $\mathcal{B}$, respectively. It is shown that for transverse case, the drag force is linearly dependent on $\mathcal{B}$ in all regions. While for parallel case, the drag force increases monotonously with increasing $\mathcal{B}$ and also reveals a linear behavior in the regions of strong $\mathcal{B}$. In addition, we find that $\mathcal{B}$ has important effect for transverse case than parallel.