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

TL;DR

This paper investigates how a constant magnetic field influences the imaginary part of the quarkonia potential in a strongly-coupled $ ext{N}=4$ SYM plasma, revealing that the magnetic field generally enhances the imaginary potential and affects the thermal width.

Contribution

It provides a detailed analysis of the magnetic field's impact on the imaginary potential of quarkonia in a strongly-coupled plasma, considering different orientations of the pair axis.

Findings

Magnetic field enhances the imaginary potential in the plasma.

The effect is stronger when the pair axis is perpendicular to the magnetic field.

Magnetic field decreases the thermal width of quarkonia.

Abstract

We study the effect of a constant magnetic field on the imaginary part of a quarkonia potential in a strongly-coupled $\mathcal{N}=4$ SYM plasma. We consider the pair axis to be aligned perpendicularly and parallel to the magnetic field, respectively. For both cases, we find that the presence of the magnetic field tends to enhance the imaginary potential thus decreasing the the thermal width. In addition, the magnetic field has a stronger effect on the imaginary potential when the pair axis is perpendicular to the magnetic field rather than parallel.