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.

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

References in corpus (17)

• Static quark-antiquark pairs at finite temperature
• Heavy quark master equations in the Lindblad form at high temperatures
• The heavy-quark potential in an anisotropic plasma
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Quarkonium states in an anisotropic QCD plasma
• Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
• Bottomonium suppression in an open quantum system using the quantum trajectories method
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• Nonperturbative potential for study of quarkonia in QGP
• 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
• Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
• 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