Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD

Abstract

Recent open quantum system studies showed that quarkonium time evolution inside the quark-gluon plasma is determined by transport coefficients that are defined in terms of a gauge invariant correlator of two chromoelectric field operators connected by an adjoint Wilson line. We study the Euclidean version of the correlator for quarkonium evolution and discuss the extraction of the transport coefficients from this Euclidean correlator, highlighting its difference from other problems that also require reconstructing a spectral function, such as the calculation of the heavy quark diffusion coefficient. Along the way, we explain why the transport coefficient ${\gamma }_{\mathrm{adj}}$ differs from ${\gamma }_{\mathrm{fund}}$ at finite temperature at $\mathcal{O}(g^4)$, in spite of the fact that their corresponding spectral functions differ only by a temperature-independent term at the same order. We then discuss how to evaluate the Euclidean correlator via lattice QCD methods, with a focus on reducing the uncertainty caused by infrared renormalons in determining the renormalization factor nonperturbatively.

arXiv comment12 pages, 1 figure

References in corpus (61)

• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Multi-system Bayesian constraints on the transport coefficients of QCD matter
• Bayesian analysis of heavy ion collisions with the heavy ion computational framework Trajectum
• 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
• Heavy Quarkonium in Extreme Conditions
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• A transverse momentum differential global analysis of Heavy Ion Collisions
• Exploring quark transverse momentum distributions with lattice QCD
• Heavy quarkonium suppression in a fireball
• A non-perturbative estimate of the heavy quark momentum diffusion coefficient
• HTL Perturbation Theory to Two Loops
• Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory and QCD
• Heavy quark master equations in the Lindblad form at high temperatures
• Determining the jet transport coefficient $\hat{q}$ from inclusive hadron suppression measurements using Bayesian parameter estimation
• Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order
• Gauge-invariant field-strength correlators in pure Yang-Mills and full QCD at finite temperature
• Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
• Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma
• Quarkonium In-Medium Transport Equation Derived from First Principles
• Lattice QCD constraints on the heavy quark diffusion coefficient
• The Schrödinger-Langevin equation with and without thermal fluctuations
• The approach to equilibrium of a quarkonium in a quark-gluon plasma
• A way to estimate the heavy quark thermalization rate from the lattice
• Dynamical dissociation of quarkonia by wave function decoherence
• Coupled Boltzmann Transport Equations of Heavy Quarks and Quarkonia in Quark-Gluon Plasma
• Quarkonium inside Quark-Gluon Plasma: Diffusion, Dissociation, Recombination and Energy Loss
• Heavy Quark Diffusion from 2+1 Flavor Lattice QCD with 320 MeV Pion Mass
• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• Open Quantum Systems for Quarkonia
• Heavy quark momentum diffusion from the lattice using gradient flow
• Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma
• Approach to equilibrium of quarkonium in quark-gluon plasma
• QCD field strength correlator at the next-to-leading order
• Doubly charmed baryon production in heavy ion collisions
• Quarkonium Semiclassical Transport in Quark-Gluon Plasma: Factorization and Quantum Correction
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Renormalization of parton quasi-distributions beyond the leading order: spacelike vs. timelike
• Leading Power Accuracy in Lattice Calculations of Parton Distributions
• Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation
• Quantum evolution of quarkonia with correlated and uncorrelated noise
• Extraction of the Heavy-Quark Potential from Bottomonium Observables in Heavy-Ion Collisions
• Colour-electric spectral function at next-to-leading order
• Dark Matter bound-state formation at higher order: a non-equilibrium quantum field theory approach
• Heavy quark diffusion coefficient with gradient flow
• Theoretical Perspective on Quarkonia from SPS via RHIC to LHC
• Thermal Heavy Quark Self-Energy from Euclidean Correlators
• Transverse Momentum Broadening of a Jet in Quark-Gluon Plasma: An Open Quantum System EFT
• Perturbative renormalization of the electric field correlator
• Simulation of Lindblad equations for quarkonium in the quark-gluon plasma
• Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle
• Quarkonium propagation in the quark gluon plasma
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• The impact of fluctuating initial conditions on bottomonium suppression in 5.02 TeV heavy-ion collisions
• Non-perturbative effects for dark sectors with QCD portals
• The field strength correlator from QCD sum rules
• Open quantum system approach for heavy quark thermalization
• Operator product expansion for the non-local gluon condensate
• Charmonium, $B_c$ and X(3872) Transport at the LHC

Cited by in corpus (8)

• Classical and Quantum Computing of Shear Viscosity for $2+1D$ SU(2) Gauge Theory
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• Real-time Dynamics of the Schwinger Model as an Open Quantum System with Neural Density Operators
• Accelerated quantum circuit Monte-Carlo simulation for heavy quark thermalization
• Generalized Gluon Distribution for Quarkonium Dynamics in Strongly Coupled $\mathcal{N}=4$ Yang-Mills Theory
• Temperature Dependence of Heavy Quark Diffusion from (2+1)-flavor Lattice QCD
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Meson thermalization with a hot medium in the open Schwinger model