Holographic estimate of heavy quark diffusion in a magnetic field

Abstract

We study the influence of a background magnetic field on the $J/\psi$ vector meson in a DBI-extension of the soft wall model, building upon our earlier work Phys. Rev. D91, 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.

27 pages. v2: extra discussions and references, compatible with version accepted by Phys.Rev.D

References in corpus (45)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Linear Confinement and AdS/QCD
• Drag force in AdS/CFT
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Equation of state and QCD transition at finite temperature
• Entanglement as a Probe of Confinement
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• QCD Phase Transition in a Strong Magnetic Background
• A Holographic Prediction of the Deconfinement Temperature
• The QCD equation of state in background magnetic fields
• Inverse magnetic catalysis in dense holographic matter
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Holographic melting and related properties of mesons in a quark gluon plasma
• Light scalar mesons in the soft-wall model of AdS/QCD
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Chiral Properties of Strong Interactions in a Magnetic Background
• Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\mathbb{N}=4$ Yang Mills Theory
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant
• Flavoured Large N Gauge Theory in an External Magnetic Field
• Finite Temperature Large N Gauge Theory with Quarks in an External Magnetic Field
• Inverse magnetic catalysis in the linear sigma model with quarks
• Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
• The melting of charmonium in a magnetic field from an effective AdS/QCD model
• Inverse magnetic catalysis in holographic models of QCD
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Thermal entropy of a quark-antiquark pair above and below deconfinement from a dynamical holographic QCD model
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• Towards the Gravity Dual of Quarkonium in the Strongly Coupled QCD Plasma
• Holographic model for charmonium dissociation
• Heavy meson spectroscopy under strong magnetic field
• Can a strong magnetic background modify the nature of the chiral transition in QCD?
• Heavy quarkonium in a holographic QCD model
• Screening masses in strong external magnetic fields
• Chiral phase transition of QCD with $N_f=2+1$ flavors from holography
• Non-equilibrium physics at a holographic chiral phase transition
• Dynamical chiral symmetry breaking by a magnetic field and multi-quark interactions
• The Imaginary Potential of Heavy Quarkonia Moving in Strongly Coupled Plasma
• Heavy Quarkonium States with the Holographic Potential
• Holographic Brownian Motion in Magnetic Environments
• Drag force in strongly coupled $\mathcal{N}=4$ SYM plasma in a magnetic field

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• Configuration entropy description of charmonium dissociation under the influence of magnetic fields
• A review of quarkonia under strong magnetic fields
• Quasinormal modes for quarkonium in a plasma with magnetic fields
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• Chiral phase transition and QCD phase diagram from AdS/QCD
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• Chiral Phase Transition with 2+1 quark flavors in an improved soft-wall AdS/QCD Model
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• Thermoelectric properties of (an-)isotropic QGP in magnetic fields
• Drag force to all orders in gradients
• Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
• A holographic study on QCD phase transition and phase diagram with two flavors
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• Rotation effect on the deconfinement phase transition in holographic QCD
• Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields
• Quantum Fluctuation and Dissipation in Holographic Theories: A Unifying Study Scheme
• Quasi normal modes for Heavy Vector Mesons in a Finite Density Plasma
• Octet meson spectra and chiral phase diagram in the improved soft-wall AdS/QCD model
• Fluctuation and Dissipation from a Deformed String/Gauge Duality Model
• Correlations between the deconfining and chiral transitions in holographic QCD
• Quarkonium radiative decays from the hadronic Paschen-Back effect
• Baryons under Strong Magnetic Fields or in Theories with Space-dependent $\theta$-term
• Fermionic and bosonic fluctuation-dissipation theorem from a deformed AdS holographic model at finite temperature and chemical potential
• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
• Strongly interacting matter in extreme magnetic fields
• Effect of Coriolis Force on Diffusion of D Meson
• Deformations of the AdS-Schwarzschild black brane and the shear viscosity of the quark-gluon plasma
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma
• Holographic information measures for spin-$3/2$ $\Delta$ baryons in AdS/QCD
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
• Holographic deconfined QGP phase diagram and entropy with an anomalous flow in a magnetic field background