Entropic force and real-time dynamics of holographic quarkonium in a magnetic field

TL;DR

This paper investigates how magnetic fields influence the entropy, entropic force, and dissociation dynamics of holographic quarkonium, revealing magnetic field-dependent effects that promote quarkonium dissociation and support inverse magnetic catalysis.

Contribution

It provides the first detailed holographic analysis of quarkonium entropy and dissociation under magnetic fields, highlighting magnetic effects on entropic force and dynamical dissociation.

Findings

Entropy decreases near deconfinement with magnetic field.

Entropic force strengthens with magnetic field, aiding quarkonium dissociation.

Faster quarkonium dissociation observed under magnetic influence.

Abstract

We continue the study of a recently constructed holographic QCD model supplemented with magnetic field. We consider the holographic dual of a quark, anti-quark pair and investigate its entropy beyond the deconfinement phase transition in terms of interquark distance, temperature and magnetic field. We obtain a clear magnetic field dependence in the strongly decreasing entropy near deconfinement and in the entropy variation for growing interquark separation. We uncover various supporting evidences for inverse magnetic catalysis. The emergent entropic force is found to become stronger with magnetic field, promoting the quarkonium dissociation. We also probe the dynamical dissociation of the quarkonium state, finding a faster dissociation with magnetic field. At least the static predictions should become amenable to a qualitative comparison with future lattice data.