Lattice QCD constraints on the heavy quark diffusion coefficient

Abstract

We report progress towards computing the heavy quark momentum diffusion coefficient from the correlator of two chromo-electric fields attached to a Polyakov loop in pure SU(3) gauge theory. Using a multilevel algorithm and tree-level improvement, we study the behavior of the diffusion coefficient as a function of temperature in the wide range $1.1<T/T_c<10^4$ in order to compare it to perturbative expansions at high temperature. We find that within errors the lattice results are remarkably compatible with the next-to-leading order perturbative result.

arXiv comment16 pages, 18 figures, v2: updated to match published version

References in corpus (42)

• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Properties and uses of the Wilson flow in lattice QCD
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• How Much do Heavy Quarks Thermalize in a Heavy Ion Collision?
• Holography and hydrodynamics: diffusion on stretched horizons
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
• Extraction of Heavy-Flavor Transport Coefficients in QCD Matter
• Locality and exponential error reduction in numerical lattice gauge theory
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Heavy Quark Momentum Diffusion Coefficient from Lattice QCD
• Charmonium properties in hot quenched lattice QCD
• Quarkonium suppression in heavy-ion collisions: an open quantum system approach
• Rethinking the Properties of the Quark-Gluon Plasma at $T\sim T_c$
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• Transport coefficients, spectral functions and the lattice
• Measurement of $D^0$ azimuthal anisotropy at mid-rapidity in Au+Au collisions at \sNN = 200\,GeV
• Heavy quarkonium suppression in a fireball
• A non-perturbative estimate of the heavy quark momentum diffusion coefficient
• Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order
• Heavy Quark Diffusion from the Lattice
• Polyakov loop in 2+1 flavor QCD from low to high temperatures
• D-meson azimuthal anisotropy in mid-central Pb-Pb collisions at $\sqrt{{\mathbf{s}}_{\mathrm{NN}}}=5.02$ TeV
• Meson Screening Masses in (2+1)-Flavor QCD
• Diagonal and off-diagonal quark number susceptibilities at high temperatures
• Equation of State in 2+1 Flavor QCD at High Temperatures
• A way to estimate the heavy quark thermalization rate from the lattice
• Critical point and scale setting in SU(3) plasma: An update
• Quark number susceptibilities at high temperatures
• Color screening in (2+1)-flavor QCD
• Charm diffusion in a pion gas implementing unitarity, chiral and heavy quark symmetries
• Transport coefficients from in medium quarkonium dynamics
• D-meson propagation in hot dense matter
• Charmonium spectral functions from 2+1 flavour lattice QCD
• On temperature dependence of quarkonium correlators
• Colour-electric spectral function at next-to-leading order
• Open bottom states and the anti-B meson propagation in hadronic matter
• Perturbative renormalization of the electric field correlator
• Drag Force on Heavy Quarks and Spatial String Tension
• Cutoff Effects on Energy-Momentum Tensor Correlators in Lattice Gauge Theory
• Charmonium and bottomonium spectral functions in the vector channel

Cited by in corpus (64)

• Heavy quarks and jets as probes of the QGP
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Bottomonium suppression in an open quantum system using the quantum trajectories method
• Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Heavy Quark Diffusion from 2+1 Flavor Lattice QCD with 320 MeV Pion Mass
• Open Quantum Systems for Quarkonia
• The Present and Future of QCD
• Heavy quark momentum diffusion from the lattice using gradient flow
• Simulating jets and heavy quarks in the Glasma using the colored particle-in-cell method
• Quantum simulation of open quantum systems in heavy-ion collisions
• Bottomonium production in heavy-ion collisions using quantum trajectories: Differential observables and momentum anisotropy
• Quantum algorithms for transport coefficients in gauge theories
• Quark Mass Dependence of Heavy Quark Diffusion Coefficient from Lattice QCD
• Quarkonium Semiclassical Transport in Quark-Gluon Plasma: Factorization and Quantum Correction
• Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature
• Regeneration of bottomonia in an open quantum systems approach
• Heavy quark diffusion coefficient with gradient flow
• Lattice study of a magnetic contribution to heavy quark momentum diffusion
• Dynamics of Hot QCD Matter -- Current Status and Developments
• Temperature dependence of the static quark diffusion coefficient
• Heavy quark diffusion coefficient in heavy-ion collisions via kinetic theory
• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics
• Heavy quark transport coefficients in a viscous QCD medium with collisional and radiative processes
• Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle
• Dragging heavy quark in an anisotropic QCD medium beyond the static limit
• Heavy Quark Momentum Broadening in a Non-Abelian Plasma away from Thermal Equilibrium
• Radial profile of bottom quarks in jets in high-energy nuclear collisions
• Multi-scale evolution of charmed particles in a nuclear medium
• Medium evolution of a static quark-antiquark pair in the large $N_c$ limit
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• Spectral and transport properties from lattice QCD
• In-medium kinetic theory of $D$ mesons and heavy-flavor transport coefficients
• Estimation of the diffusion coefficient of Heavy Quarks in light of Gribov-Zwanziger action
• Hard probe path lengths and event-shape engineering of the quark-gluon plasma
• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• Charm and beauty in the deconfined plasma from quenched lattice QCD
• 1-loop matching of a thermal Lorentz force
• Machine learning approach to analyze heavy quark diffusion coefficient in relativistic heavy-ion collisions
• Diffusion and fluctuations of open charmed hadrons in an interacting hadronic medium
• Lattice $B$-field correlators for heavy quarks
• Temperature Dependence of Heavy Quark Diffusion from (2+1)-flavor Lattice QCD
• Langevin dynamics of heavy quarks in a soft-hard factorized approach
• Understanding the QCD medium by the diffusion of charm quarks using a Color String Percolation Model
• Continuum extrapolation of the gradient-flowed color-magnetic correlator at $1.5T_c$
• Lattice QCD noise reduction for bosonic correlators through blocking
• Theory of heavy-quarks contribution to the quark-gluon plasma viscosity
• Heavy quark suppression and anisotropic flow at intermediate momentum
• Elliptic Flow of Heavy-Flavor Decay Electrons in Au+Au Collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}$ = 27 and 54.4 GeV at RHIC
• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
• Study of quarkonium in QGP from unquenched lattice QCD
• Reexamining charm versus bottom quark energy loss inside a color-deconfined medium
• Wilson loops in the Hamiltonian formalism
• Spectral reconstruction details of a gradient-flowed color-electric correlator
• Bottomonium observables in an open quantum system using the quantum trajectories method
• Non-equilibrium evolution of quarkonium in medium in the open quantum system approach
• Perturbative and nonperturbative properties of heavy quark transport in a thermal SU(3) gluon plasma
• QCD at high temperature and density: selected highlights
• Production of leptons from decay of heavy-flavor hadrons in high-energy nuclear collisions
• Universal Equilibration Condition for Heavy Quarks
• Bottomonium suppression and flow in heavy-ion collisions
• A simple model to include initial-state and hot-medium effects in the computation of quarkonium nuclear modification factor
• Non-Markovian dynamics of bottomonia in the QGP
• Non-perturbative heavy quark diffusion coefficients in arbitrarily magnetized quark-gluon plasma