The complex heavy-quark potential in an anisotropic quark-gluon plasma -- Statics and dynamics

Abstract

We generalize a complex heavy-quark potential model from an isotropic QCD plasma to an anisotropic one by replacing the Debye mass $m_D$ with an anisotropic screening mass depending on the quark pair alignment with respect to the direction of anisotropy. Such an angle-dependent mass is determined by matching the perturbative contributions in the potential model to the exact result obtained in the Hard-Thermal-Loop resummed perturbation theory. An advantage of the resulting potential model is that its angular dependence can be effectively described by using a set of angle-averaged screening masses as proposed in our previous work. Consequently, one could solve a one-dimensional Schrödinger equation with a potential model built by changing the anisotropic screening masses into the corresponding angle-averaged ones, and reproduce the full three-dimensional results for the binding energies and decay widths of low-lying quarkonium bound states to very high accuracy. Finally, turning to dynamics, we demonstrate that the one-dimensional effective potential can accurately describe the time evolution of the vacuum overlaps obtained using the full three-dimensional anisotropic potential. This includes the splitting of different p-wave polarizations.

final version published in JHEP

References in corpus (28)

• Static quark-antiquark pairs at finite temperature
• Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• Anisotropic Hydrodynamics: Three lectures
• The heavy-quark potential in an anisotropic plasma
• A resummed perturbative estimate for the quarkonium spectral function in hot QCD
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Non-relativistic bound states at finite temperature (I): the hydrogen atom
• Quarkonium states in an anisotropic QCD plasma
• Bottomonium suppression in an open quantum system using the quantum trajectories method
• Bottomonium suppression using a lattice QCD vetted potential
• Jet quenching and broadening: the transport coefficient $\hat{q}$ in an anisotropic plasma
• Bottomonium production in heavy-ion collisions using quantum trajectories: Differential observables and momentum anisotropy
• Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field
• The momentum broadening of energetic partons in an anisotropic plasma
• Electrical Conductivity of an Anisotropic Quark Gluon Plasma : A Quasiparticle Approach
• Bottomonium suppression and elliptic flow from real-time quantum evolution
• Plasmons in Anisotropic Quark-Gluon Plasma
• Bulk observables at 5.02 TeV using quasiparticle anisotropic hydrodynamics
• Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
• QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics
• Radiative energy loss in an anisotropic Quark-Gluon-Plasma
• Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator
• Probes of the quark-gluon plasma and plasma instabilities
• Effective Debye Screening Mass in an Anisotropic Quark Gluon Plasma
• Color-electric conductivity in a viscous quark-gluon plasma

Cited by in corpus (5)

• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Impact of strong magnetic field, baryon chemical potential, and medium anisotropy on polarization and spin alignment of hadrons
• The effective complex heavy-quark potential in an anisotropic quark-gluon plasma
• Spin alignment of Quarkonia: A Possible Probe of Deconfined QCD matter in Pb+Pb Collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma