2018/02/28 by David Dudal, Thomas G. Mertens
Physics and Astronomy · #Casimir effect #Classical mechanics #Condensed matter physics #Deconfinement #Diffusion #High-Energy Particle Collisions Research #Magnetic field #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #String (physics) #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.97.054035
published as Phys. Rev. D 97, 054035 (2018) · 27 pages. v2: extra discussions and references, compatible with version accepted by Phys.Rev.D
arxiv created 2018/03/30 · openalex publication_date 2018/03/30 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the influence of a background magnetic field on the J/\ensuremathψ vector meson in a Dirac-Born-Infeld-extension of the soft wall model, building upon our earlier work [Phys. Rev. D 91, 086002 (2015)]. In this specific holographic QCD model, we discuss the heavy quark number susceptibility and diffusion constants of charm quarks and their dependence on the magnetic field by either a hydrodynamic expansion or by numerically solving the differential equation. This allows us to determine the response of these transport coefficients to the magnetic field. The effects of the latter are considered both from a direct as indirect (medium) viewpoint. As expected, we find a magnetic field induced anisotropic diffusion, with a stronger diffusion in the longitudinal direction compared to the transversal one. We backup, at least qualitatively, our findings with a hanging string analysis of heavy quark diffusion in a magnetic field. From the quark number susceptibility we can extract an estimate for the effective deconfinement temperature in the heavy quark sector, reporting consistency with the phenomenon of inverse magnetic catalysis.