Anisotropic tomography of heavy quark dissociation by using general propagator structure at finite magnetic field

TL;DR

This paper investigates the anisotropic heavy quark potential and quarkonia dissociation in a hot magnetic medium, incorporating Landau level summation and a general propagator structure to extend understanding across all magnetic field strengths.

Contribution

It introduces a comprehensive Landau level summation, a novel gauge boson propagator in a magnetized medium, and reveals the anisotropic structure of the heavy quark potential.

Findings

Potential tomography shows anisotropic dissociation patterns.

Dissociation probability varies with magnetic field strength.

Results applicable across the entire magnetic field spectrum.

Abstract

In this work we have explored the imaginary part of the Heavy Quark (HQ) potential and subsequently the dissociation of heavy quarkonia at finite temperature and magnetic field. With respect to earlier investigations on this topic, present work contain three new ingredients. First one is considering all Landau level summation, for which present work can be applicable in entire magnetic field domain - from weak to strong. Second one is the general structure of the gauge boson propagator in a hot magnetized medium, which is used here in heavy quark potential problem first time. Third one is a rich anisotropic structure of the complex heavy quark potential, which explicitly depends on the longitudinal and transverse distance. By comparing with earlier references, we have attempted to display our new contributions by plotting heavy quark potential tomography and dissociation probability at finite temperature and magnetic field.