The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics

Abstract

We extract the imaginary part of the heavy-quark potential using classical-statistical simulations of real-time Yang-Mills dynamics in classical thermal equilibrium. The $r$-dependence of the imaginary part of the potential is extracted by measuring the temporal decay of Wilson loops of spatial length $r$. We compare our results to continuum expressions obtained using hard thermal loop theory and to semi-analytic lattice perturbation theory calculations using the hard classical loop formalism. We find that, when plotted as a function of $m_{D}r$, where $m_D$ is the hard classical loop Debye mass, the imaginary part of the heavy-quark potential shows little sensitivity to the lattice spacing at small $m_{D}r\lesssim 1$ and agrees well with the semi-analytic hard classical loop result. For large quark-antiquark separations, we quantify the magnitude of the non-perturbative long-range corrections to the imaginary part of the heavy-quark potential. We present our results for a wide range of temperatures, lattice spacings, and lattice volumes. This work sets the stage for extracting the imaginary part of the heavy-quark potential in an expanding non-equilibrium Yang Mills plasma.

arXiv comment25 pages, 9 figures, 1 table; v2 - major revision, published version

References in corpus (63)

• Cuba - a library for multidimensional numerical integration
• Effective field theories for heavy quarkonium
• Real-time static potential in hot QCD
• Collective Modes of an Anisotropic Quark-Gluon Plasma
• Static quark-antiquark pairs at finite temperature
• QCD Plasma Instabilities and Bottom-Up Thermalization
• Collective modes of an Anisotropic Quark-Gluon Plasma II
• Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
• Universal attractor in a highly occupied non-Abelian plasma
• Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD
• The hot baryon violation rate is $O({\alpha }_W^5{T}^4)$
• A novel Bayesian approach to spectral function reconstruction
• A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition
• Quarkonium suppression in heavy-ion collisions: an open quantum system approach
• Static correlation lengths in QCD at high temperatures and finite densities
• Heavy quarkonium suppression in a fireball
• Measurement of nuclear modification factors of ${\rm Y}$(1S), ${\rm Y}$(2S), and ${\rm Y}$(3S) mesons in PbPb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=$ 5.02 TeV
• Heavy quark master equations in the Lindblad form at high temperatures
• The heavy-quark potential in an anisotropic plasma
• Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma
• The classical sphaleron transition rate exists and is equal to $1.1({\alpha }_{w}T{)}^4$
• Color filamentation in ultrarelativistic heavy-ion collisions
• Quarkonium In-Medium Transport Equation Derived from First Principles
• Quarkonium states in an anisotropic QCD plasma
• Really Computing Non-perturbative Real Time Correlation Functions
• Quarkonium states in a complex-valued potential
• The Schrödinger-Langevin equation with and without thermal fluctuations
• Quarkonium dissociation in the presence of a small momentum space anisotropy
• The approach to equilibrium of a quarkonium in a quark-gluon plasma
• UV Cascade in Classical Yang-Mills Theory
• Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
• Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations
• Bottomonium suppression in an open quantum system using the quantum trajectories method
• Classical Sphaleron Rate on Fine Lattices
• Quarkonium at finite temperature: Towards realistic phenomenology from first principles
• Dynamical dissociation of quarkonia by wave function decoherence
• Disentangling the timescales behind the non-perturbative heavy quark potential
• Motion of Chern-Simons Number at High Temperature Under a Chemical Potential
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• Chern-Simons number asymmetry from CP violation at electroweak tachyonic preheating
• Hot B violation, the lattice, and hard thermal loops
• Spectral function for overoccupied gluodynamics from real-time lattice simulations
• Real-time quantum dynamics of heavy quark systems at high temperature
• Complex heavy-quark potential and Debye mass in a gluonic medium from lattice QCD
• A gauge invariant Debye mass and the complex heavy-quark potential
• Nonperturbative potential for study of quarkonia in QGP
• Improved determination of the classical sphaleron transition rate
• Non-renormalizability of the classical statistical approximation
• Bottomonium suppression and elliptic flow from real-time quantum evolution
• ${\rm Y}$ production and nuclear modification at forward rapidity in Pb-Pb collisions at $\sqrt{{\text{s}}_{\text{NN}}}=5.02$ TeV
• Modeling the nonperturbative contributions to the complex heavy-quark potential
• Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
• Thermalization algorithms for classical gauge theories
• The static hard-loop gluon propagator to all orders in anisotropy
• Highly occupied gauge theories in 2+1 dimensions: self-similar attractor
• In-medium P-wave quarkonium from the complex lattice QCD potential
• Broad excitations in a 2+1D overoccupied gluon plasma
• Interaction potential between heavy $Q\bar{Q}$ in color octet configuration in QGP
• Proper static potential in classical lattice gauge theory at finite T
• Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator
• Shear viscosity of classical Yang-Mills field

Cited by in corpus (4)

• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature
• Inverse problems, real-time dynamics and lattice simulations
• The impact of fluctuating initial conditions on bottomonium suppression in 5.02 TeV heavy-ion collisions