Non-perturbative heavy quark diffusion coefficients in arbitrarily magnetized quark-gluon plasma

Abstract

Heavy quark (HQ) momentum ($\kappa$) and spatial diffusion ($D_s$) coefficients are computed in a non-perturbative thermal QCD medium in the presence of a background magnetic field of arbitrary strength. Both perturbative and non-perturbative effects are incorporated via the in-medium HQ potential, obtained from the resummed gluon propagator. We find that the momentum diffusion coefficients become anisotropic even in the static heavy quark limit, with the magnetic field direction defining the axis of anisotropy. This anisotropy originates from restrictions on longitudinal momentum diffusion in the gluon spectral function, and naturally leads to two spatial diffusion coefficients ($D_s^L$, $D_s^T$). Non-perturbative effects are found to be dominant at low temperatures. These results provide a more consistent input for Langevin based calculations of the heavy quark directed flow at RHIC and LHC energies.

7 pages, 2 figures

References in corpus (35)

• Estimate of the magnetic field strength in heavy-ion collisions
• How Much do Heavy Quarks Thermalize in a Heavy Ion Collision?
• Electromagnetic field evolution in relativistic heavy-ion collisions
• Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
• Extraction of Heavy-Flavor Transport Coefficients in QCD Matter
• Directed Flow of Charm Quarks as a Witness of the Initial Strong Magnetic Field in Ultra-Relativistic Heavy Ion Collisions
• Heavy Quark Momentum Diffusion Coefficient from Lattice QCD
• Charmonium properties in hot quenched lattice QCD
• Towards the determination of heavy-quark transport coefficients in quark-gluon plasma
• Lattice QCD constraints on the heavy quark diffusion coefficient
• Probing the effects of strong electromagnetic fields with charge-dependent directed flow in Pb-Pb collisions at the LHC
• First observation of the directed flow of $D^0$ and $\overline{D^0}$ in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200~GeV
• Dimension two condensates and the Polyakov loop above the deconfinement phase transition
• Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Large directed flow of open charm mesons probes the three dimensional distribution of matter in heavy ion collisions
• Interplay of drag by hot matter and electromagnetic force on the directed flow of heavy quarks
• Power corrections in the quark-antiquark potential at finite temperature
• Transport properties and Langevin dynamics of heavy quarks and quarkonia in the Quark Gluon Plasma
• Quark Mass Dependence of Heavy Quark Diffusion Coefficient from Lattice QCD
• General structure of gauge boson propagator and its spectra in a hot magnetized medium
• Charge-dependent flow as evidence of strong electromagnetic fields in heavy-ion collisions
• Dissociation of heavy quarkonia in a weak magnetic field
• Heavy quark dynamics in a hot magnetized QCD medium
• Directed flow of D mesons at RHIC and LHC: non-perturbative dynamics, longitudinal bulk matter asymmetry and electromagnetic fields
• Probing the initial longitudinal density profile and electromagnetic field in ultrarelativistic heavy-ion collisions with heavy quarks
• Spectator induced electromagnetic effect on directed flow in heavy ion collisions
• Electromagnetic fields and directed flow in large and small colliding systems at ultrarelativistic energies
• Impact of longitudinal bulk viscous effects to heavy quark transport in a strongly magnetized hot QCD medium
• Exploring the effects of electromagnetic fields and tilted bulk distribution on directed flow of D mesons in small systems
• Charm and Bottom Hadrons in Hot Hadronic Matter
• Rapidity dependence of heavy-flavour production in heavy-ion collisions within a full 3+1 transport approach: quenching, elliptic and directed flow
• Heavy quark potential and LQCD based quark condensate at finite magnetic field
• HQ Collisional energy loss in a magnetized medium
• Energy loss of heavy quarks in the presence of magnetic field
• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium