Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma

TL;DR

This paper uses a holographic five-dimensional model to study how a magnetic field influences heavy-quark diffusion and quarkonium structure in a quark-gluon plasma, providing analytical results for anisotropic diffusion and susceptibility.

Contribution

It introduces a novel holographic model incorporating magnetic effects to analyze heavy-quark diffusion and quarkonium properties in QCD-like thermodynamics.

Findings

Analytical solutions for gravitational equations of motion.

Closed form expressions for anisotropic diffusion constants.

Results on heavy-quark number susceptibility.

Abstract

Motivated by the potential experimental relevance of magnetically affected heavy-quark diffusion, we consider here a five-dimensional nonlinear Einstein-Born-Infeld-dilaton model to not only holographically model the QCD thermodynamics in a magnetic background, but also to probe the charged inner structure of a heavy quarkonium. The dual model's gravitational equations of motion can be solved in analytical form via the potential reconstruction method. Using a variety of tools -- spectral functions, hydrodynamic expansions or hanging strings -- we study the anisotropic diffusion constants and heavy-quark number susceptibility, each time reporting closed form expressions.