Static quark-antiquark pairs at finite temperature

Abstract

In a framework that makes close contact with modern effective field theories for non-relativistic bound states at zero temperature, we study the real-time evolution of a static quark-antiquark pair in a medium of gluons and light quarks at finite temperature. For temperatures ranging from values larger to smaller than the inverse distance of the quark and antiquark, 1/r, and at short distances, we derive the potential between the two static sources, and calculate their energy and thermal decay width. Two mechanisms contribute to the thermal decay width: the imaginary part of the gluon self energy induced by the Landau damping phenomenon, and the quark-antiquark color singlet to color octet thermal break up. Parametrically, the first mechanism dominates for temperatures such that the Debye mass is larger than the binding energy, while the latter, which we quantify here for the first time, dominates for temperatures such that the Debye mass is smaller than the binding energy. If the Debye mass is of the same order as 1/r, our results are in agreement with a recent calculation of the static Wilson loop at finite temperature. For temperatures smaller than 1/r, we find new contributions to the potential, both real and imaginary, which may be relevant to understand the onset of heavy quarkonium dissociation in a thermal medium.

42 pages, 16 figures

References in corpus (25)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• Real-time static potential in hot QCD
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Quarkonium Feed-Down and Sequential Suppression
• Effective dynamics of soft non-abelian gauge fields at finite temperature
• Quarkonium Interactions in Hadronic Matter
• Static quark anti-quark free energy and the running coupling at finite temperature
• Color Screening Melts Quarkonium
• The infrared behaviour of the static potential in perturbative QCD
• Quarkonium correlators and spectral functions at zero and finite temperature
• Can quarkonia survive deconfinement ?
• String Breaking and Quarkonium Dissociation at Finite Temperatures
• Damping rates for moving particles in hot QCD
• Quarkonia Correlators Above Deconfinement
• A resummed perturbative estimate for the quarkonium spectral function in hot QCD
• Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
• The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies
• The logarithmic contribution to the QCD static energy at NNNNLO
• Heavy Quark Potentials and Quarkonia Binding
• Covariant gauges at finite temperature
• Quark Propagation in a Quark-Gluon Plasma with Gluon Condensate
• Theoretical issues in J/psi suppression

Cited by in corpus (290)

• Heavy quarkonium: progress, puzzles, and opportunities
• QCD and strongly coupled gauge theories: challenges and perspectives
• Charmonium and bottomonium production in heavy-ion collisions
• Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD
• 50 Years of Quantum Chromodynamics
• Lattice QCD and heavy ion collisions: a review of recent progress
• A novel Bayesian approach to spectral function reconstruction
• Thermal Bottomonium Suppression at RHIC and LHC
• Quarkonium suppression in heavy-ion collisions: an open quantum system approach
• Heavy Quarkonium in Extreme Conditions
• Charmonium in Medium: From Correlators to Experiment
• Bottomonia in the Quark-Gluon Plasma and their Production at RHIC and LHC
• Heavy quarkonium suppression in a fireball
• Lattice QCD at non-zero temperature
• Heavy quarks and jets as probes of the QGP
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• Color Screening and Regeneration of Bottomonia in High-Energy Heavy-Ion Collisions
• 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
• Quarkonia and Heavy-Quark Relaxation Times in the Quark-Gluon Plasma
• Perturbative Thermal QCD: Formalism and Applications
• What happens to the Upsilon and eta_b in the quark-gluon plasma? Bottomonium spectral functions from lattice QCD
• Quarkonia in the Quark Gluon Plasma
• High transverse momentum quarkonium production and dissociation in heavy ion collisions
• Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
• Thermal Upsilon(1s) and chi_b1 suppression in sqrt(s_NN)=2.76 TeV Pb-Pb collisions at the LHC
• Thermal width and quarkonium dissociation by inelastic parton scattering
• 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
• QCD Thermodynamics from the Lattice
• Quarkonium In-Medium Transport Equation Derived from First Principles
• Heavy quark bound states in a quark-gluon plasma: dissociation and recombination
• Heavy-flavor production and medium properties in high-energy nuclear collisions - What next?
• Quarkonium states in an anisotropic QCD plasma
• Quarkonium states in a complex-valued potential
• Bottomonium above deconfinement in lattice nonrelativistic QCD
• The approach to equilibrium of a quarkonium in a quark-gluon plasma
• Quarkonium dissociation in the presence of a small momentum space anisotropy
• 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
• Relic density of wino-like dark matter in the MSSM
• Bottomonia suppression in 2.76 TeV Pb-Pb collisions
• Quarkonium dissociation in quark-gluon plasma via ionization in magnetic field
• Quarkonium at finite temperature: Towards realistic phenomenology from first principles
• Dynamical dissociation of quarkonia by wave function decoherence
• Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas
• Exploring QCD matter in extreme conditions with Machine Learning
• Bottomonium suppression using a lattice QCD vetted potential
• Potential Models for Quarkonia
• Color screening in (2+1)-flavor QCD
• Coupled Boltzmann Transport Equations of Heavy Quarks and Quarkonia in Quark-Gluon Plasma
• Predictions for bottomonia suppression in 5.023 TeV Pb-Pb collisions
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• Disentangling the timescales behind the non-perturbative heavy quark potential
• Dissociation of quarkonium in hot QCD medium: Modification of the inter-quark potential
• Improved Gauss law model and in-medium heavy quarkonium at finite density and velocity
• Transport coefficients from in medium quarkonium dynamics
• Dimensionally regularized Polyakov loop correlators in hot QCD
• Open Quantum Systems for Quarkonia
• Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma
• Thermal Width of the ${\rm Y}$ at Large t' Hooft Coupling
• Excited bottomonia in quark-gluon plasma from lattice QCD
• Lattice NRQCD study of S- and P-wave bottomonium states in a thermal medium with $N_f=2+1$ light flavors
• Measurement of ${\rm Y}$(1S+2S+3S) production in $p$$+$$p$ and Au$+$Au collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• Dissociation of Quarkonium in a Complex Potential
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Heavy quarkonia in a medium as a quantum dissipative system: Master-equation approach
• Heavy Quark Potential at Finite Temperature Using the Holographic Correspondence
• Selfconsistent Evaluation of Charm and Charmonium in the Quark-Gluon Plasma
• Heavy Quarkonium moving in a Quark-Gluon Plasma
• Bottomonium production in heavy-ion collisions using quantum trajectories: Differential observables and momentum anisotropy
• Suppression of excited ${\rm Y}$ states relative to the ground state in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Towards the Gravity Dual of Quarkonium in the Strongly Coupled QCD Plasma
• Heavy quark potential in quark-gluon Plasma: Deep neural network meets lattice quantum chromodynamics
• Non-relativistic bound states in a moving thermal bath
• Real-time quantum dynamics of heavy quark systems at high temperature
• Heavy Quark Potential in a static and strong homogeneous magnetic field
• Thermal Broadening of Bottomonia: Lattice Non-Relativistic QCD with Extended Operators
• 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
• Approach to equilibrium of quarkonium in quark-gluon plasma
• How to compute the thermal quarkonium spectral function from first principles?
• Phase transitions and gluodynamics in 2-colour matter at high density
• Doubly charmed baryon production in heavy ion collisions
• Dissociation of quarkonium in an anisotropic hot QCD medium
• On temperature dependence of quarkonium correlators
• Polyakov loop in 2+1 flavor QCD
• Nonperturbative potential for study of quarkonia in QGP
• Non-relativistic bound states at finite temperature (II): the muonic hydrogen
• Bottomonia suppression in heavy-ion collisions
• The three-quark static potential in perturbation theory
• Quarkonium Semiclassical Transport in Quark-Gluon Plasma: Factorization and Quantum Correction
• Dissociation of heavy quarkonium in hot QCD medium in a quasi-particle model
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Upsilon suppression in PbPb collisions at the LHC
• Quarkonium in-medium properties from realistic lattice NRQCD
• Dark Matter Sommerfeld-enhanced annihilation and Bound-state decay at finite temperature
• The dissociation of a heavy meson in the quark medium
• On thermal corrections to near-threshold annihilation
• Thermal quarkonium physics in the pseudoscalar channel
• Gluodissociation and Screening of Upsilon States in PbPb Collisions at sqrt (s_NN) = 2.76 TeV
• Signatures of charmonium modification in spatial correlation functions
• Quarkonium in Hot Medium
• Toward Large N Thermal QCD from Dual Gravity: The Heavy Quarkonium Potential
• Heavy quarkonium correlators at finite temperature: QCD sum rule approach
• Time-dependent heavy-quark potential at finite temperature from gauge-gravity duality
• Coloured coannihilations: Dark matter phenomenology meets non-relativistic EFTs
• Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature
• A review of quarkonia under strong magnetic fields
• Quantum evolution of quarkonia with correlated and uncorrelated noise
• Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation
• Extraction of the Heavy-Quark Potential from Bottomonium Observables in Heavy-Ion Collisions
• Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method
• The Imaginary Potential of Heavy Quarkonia Moving in Strongly Coupled Plasma
• Regeneration of bottomonia in an open quantum systems approach
• Bottomonium suppression and elliptic flow from real-time quantum evolution
• A first look at Bottomonium melting via a stochastic potential
• Free Energy of a Heavy Quark-Antiquark Pair in a Thermal Medium from AdS/CFT
• Freeze-in produced dark matter in the ultra-relativistic regime
• Thermodynamics of strong-interaction matter from Lattice QCD
• Dark Matter bound-state formation at higher order: a non-equilibrium quantum field theory approach
• Bottomium suppression in PbPb collisions at LHC energies
• The Imaginary Potential and Thermal Width of Moving Quarkonium from Holography
• A hard thermal loop benchmark for the extraction of the nonperturbative $Q\bar{Q}$ potential
• Bayesian study of relativistic open and hidden charm in anisotropic lattice QCD
• On similarity of jet quenching and charmonia suppression
• Lattice calculation of the heavy quark potential at non-zero temperature
• Rapid bound-state formation of Dark Matter in the Early Universe
• Heavy quark medium polarization at next-to-leading order
• Theoretical Perspective on Quarkonia from SPS via RHIC to LHC
• Realistic in-medium heavy-quark potential from high statistics lattice QCD simulations
• Un-screened forces in Quark-Gluon Plasma?
• Charmonium mass in hot and dense hadronic matter
• Fate of in-medium heavy quarks via a Lindblad equation
• Probing the in-Medium QCD Force by Open Heavy-Flavor Observables
• An overview of experimental results from ultra-relativistic heavy-ion collisions at the CERN LHC: hard probes
• Thermal Heavy Quark Self-Energy from Euclidean Correlators
• Bulk viscous corrections to screening and damping in QCD at high temperatures
• Modeling the nonperturbative contributions to the complex heavy-quark potential
• Quarkonium transport in thermal AdS/CFT
• The on-shell effective field theory: a systematic tool to compute power corrections to the hard thermal loops
• Quarkonium at Finite Temperature
• Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics
• Heavy Quark Potentials in Some Renormalization Group Revised AdS/QCD Models
• On supersymmetry at finite temperature
• Quarkonia in anisotropic hot QCD medium in a quasi-particle model
• Thermal width of heavy quarkonia from an AdS/QCD model
• A path integral for heavy-quarks in a hot plasma
• Phenomenological study of quarkonium suppression and the impact of the energy gap between singlets and octets
• Simulation of Lindblad equations for quarkonium in the quark-gluon plasma
• In-medium modification of P-wave charmonia from QCD sum rules
• QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics
• Thermal suppression of moving heavy quark pairs in strongly coupled plasma
• Heavy quarkonium suppression beyond the adiabatic limit
• Nuclear modification of ${\rm Y}$ states in pPb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 5.02 TeV
• Glueball phenomenology and the relativistic flux tube model
• Charmonium suppression in the presence of dissipative forces in a strongly coupled quark-gluon plasma
• Heavy quarkonia in a bulk viscous medium
• Heavy quarkonium moving in hot and dense deconfined nuclear matter
• Heavy Quark Interactions and Quarkonium Binding
• CP asymmetry in heavy Majorana neutrino decays at finite temperature: the nearly degenerate case
• Color Deconfinement and Charmonium Production in Nuclear Collisions
• Quarkonium dissociation at finite chemical potential
• On static quark anti-quark potential at non-zero temperature
• Observation of the ${\rm Y}$(3S) meson and suppression of ${\rm Y}$ states in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Lattice Calculations of Heavy Quark Potential at Finite Temperature
• Polyakov loop correlator in perturbation theory
• On the definition and interpretation of a static quark anti-quark potential in the colour-adjoint channel
• Static quark anti-quark pair in SU(2) gauge theory
• Some Aspects of the Theory of Heavy Ion Collisions
• Color Screening in Quantum Chromodynamics
• Non-Extremality, Chemical Potential and the Infrared limit of Large N Thermal QCD
• Unified Description of Charmonium Suppression in Quark-Gluon Plasma Medium at RHIC and LHC Energies
• Quarkonium propagation in the quark gluon plasma
• An Effective Theory of Quarkonia in QCD Matter
• Ab Initio Calculation of Finite Temperature Charmonium Potentials
• Intermediate distance correlators in hot Yang-Mills theory
• Charmonium suppression in ultra-relativistic proton-proton collisions at LHC energies: A hint for QGP in small systems
• Centrality and transverse momentum dependent suppression of ${\rm Y}(1S)$ and ${\rm Y}(2S)$ in p$-$Pb and Pb$-$Pb collisions at the CERN Large Hadron Collider
• Static potentials for quarkonia at finite temperatures
• Heavy Quarkonia in a Potential Model: Binding Energy, Decay Width, and Survival Probability
• From Complex to Stochastic Potential: Heavy Quarkonia in the Quark-Gluon Plasma
• Gravity Dual Corrections to the Heavy Quark Potential at Finite-Temperature
• Non-relativistic and potential non-relativistic effective field theories for scalar mediators
• A systematically study of thermal width of heavy quarkonia in a finite temperature magnetized background from holography
• Bethe-Salpeter amplitudes of Upsilons
• Heavy flavor dissociation in the framework of multi-body Dirac equations
• T-matrix approach to heavy quark diffusion in the QGP
• Medium evolution of a static quark-antiquark pair in the large $N_c$ limit
• The spin-orbit potential and Poincaré invariance in finite temperature pNRQCD
• Velocity-induced Heavy Quarkonium Dissociation using the gauge-gravity correspondence
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• The complex heavy-quark potential in an anisotropic quark-gluon plasma -- Statics and dynamics
• Bound-state formation, dissociation and decays of darkonium with potential non-relativistic Yukawa theory for scalar and pseudoscalar mediators
• D meson mass and heavy quark potential at finite temperature
• Electromagnetic field effects on ${\rm Y}$-meson dissociation in PbPb collisions at LHC energies
• The effect of gluon condensate on imaginary potential and thermal width from holography
• Higher derivative corrections to the entropic force from holography
• Probe the color screening in proton-nucleus collisions with complex potentials
• Studies of a thermally averaged p-wave Sommerfeld factor
• Gluo-dissociation of Heavy Quarkonium in the Quark-Gluon Plasma Revisited
• Interaction potential between heavy $Q\bar{Q}$ in color octet configuration in QGP
• A minimal quasiparticle approach for the QGP and its large-$N_c$ limits
• Proper static potential in classical lattice gauge theory at finite T
• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• Heavy Quarkonium Dissociation by Thermal Gluons at Next-to-leading Order in the Quark-Gluon Plasma
• Static quark correlators and quarkonium properties at non-zero temperature
• Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator
• On the thermalization of quarkonia at the LHC
• Fireball tomography from bottomonia elliptic flow in relativistic heavy-ion collisions
• The impact of fluctuating initial conditions on bottomonium suppression in 5.02 TeV heavy-ion collisions
• Exploring the properties of the phases of QCD matter - research opportunities and priorities for the next decade
• Static meson correlators in 2+1 flavor QCD at non-zero temperature
• Imaginary potential in strongly coupled $\mathcal{N}=4$ SYM plasma in a magnetic field
• Measurements of the azimuthal anisotropy of prompt and nonprompt charmonia in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Quasinormal modes and dispersion relations for quarkonium in a plasma
• The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics
• Quarkonia at finite temperature in relativistic heavy ion collisions
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Quarkonium Spectral Functions
• Bottomonium suppression at RHIC and LHC in an open quantum system approach
• Quarkonium dissociation in perturbative QCD
• Momentum anisotropy effects for quarkonium in a weakly-coupled quark-gluon plasma below the melting temperature
• Non-perturbative effects for dark sectors with QCD portals
• Bottomonium spectroscopy in the quark-gluon plasma
• A holographic model for large N thermal QCD
• Impact of Medium Anisotropy on Quarkonium Dissociation and Regeneration
• The complex heavy-quark potential with the Gribov-Zwanziger action
• Effective Debye Screening Mass in an Anisotropic Quark Gluon Plasma
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• Imaginary potential of moving quarkonia in a D-instanton background
• Model study on ${\rm Y}(nS)$ modification in small collision systems
• $\psi (2S)$ enhancement in p-Pb collision as an indication of QGP formation at the LHC
• Conformal perturbation theory confronts lattice results in the vicinity of a critical point
• Screened potential and quarkonia properties at high temperatures
• The investigation of quark - antiquark potential in plasma with hyperscaling violation background
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Heavy Quark Potential at Finite Temperature in a Dual Gravity Closer to Large N QCD
• Sequential bottomonium production at high temperatures
• Transverse momentum dependent feed-down fractions for bottomonium production
• Production of doubly charmed hadron ${\Xi }_{cc}^{++}$ and $T_{cc}^{+}$ in relativistic heavy ion collisions
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Production of bottomonia states in proton+proton and heavy-ion collisions
• In-medium bottomonium properties from lattice NRQCD calculations with extended meson operators
• Gluon Propagator and Heavy Quark Potential in an Anisotropic QCD Plasma
• Quarkonium production and suppression: Theory
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• Dynamical Screening of $\alpha$-$\alpha$ Resonant Scattering and Thermal Nuclear Scattering Rate in a Plasma
• Dissociation of large transverse-momentum prompt J/psi produced in Pb-Pb collisions at the LHC
• $J/\psi$ near $T_c$
• Quarkonium Phenomenology from a Generalised Gauss Law
• In-medium effects in the holographic quark-gluon plasma
• Observation of the charged-particle multiplicity dependence of ${\sigma }_{\psi (2S)}/{\sigma }_{\text{J}/\psi }$ in pPb collisions at 8.16 TeV
• Bottomonia in the Quark Gluon Plasma
• Properties of charmonia in a hot equilibrated medium
• Study of quarkonium in QGP from unquenched lattice QCD
• Quarkonium dissociation in a thermal bath
• Non-relativistic particles in a thermal bath
• Finite Temperature Quarkonia Spectral Functions in the Pseudoscalar Channel
• Bottomonium from lattice QCD as a probe of the Quark-Gluon Plasma
• Quarkonia at $T>0$ and lattice QCD
• Bottomonia Suppression in Heavy Ion Collisions from AdS/CFT
• Bottomonium observables in an open quantum system using the quantum trajectories method
• Study of charm and beauty in QGP from unquenched lattice QCD
• $q\bar{q}$ Potential at Finite T and Weak Coupling in $\mathcal{N}=4$
• Quarkonium in a viscous QGP
• Heavy Quarkonium at finite temperature and chemical potential
• Melting of heavy quarkonia in QGP using deep neural networks
• Towards a precision calculation of $N_{\mathrm{eff}}$ in the Standard Model IV: Estimating the impact of positronium formation
• Non-equilibrium evolution of quarkonium in medium in the open quantum system approach
• Quark-Gluon Plasma: from lattice simulations to experimental results
• Quarkonium in a bulk viscous QGP medium
• The complex potential from 2+1 flavor QCD using HTL inspired approach
• Nonequilibrium evolution of quarkonium in medium
• In-medium Y(1S,2S,3S) suppression in Pb-Pb collisions at sqrt(s_NN)=5.02 TeV
• An Effective Field Theory study of medium heavy quark evolution
• A simple model to include initial-state and hot-medium effects in the computation of quarkonium nuclear modification factor
• Dissociation-driven quarkonium spin alignment in Pb--Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Non-Markovian dynamics of bottomonia in the QGP
• Thermal Width of Quarkonium from Holography
• A brief review of the theory of charmonium suppression in heavy ion collisions
• The Relativistic Schrödinger Equation through FFTW3: An Extension of quantumfdtd
• Quarkonium Production in the QGP
• Theory of Heavy Flavor in the Quark-Gluon Plasma
• Loop functions in thermal QCD
• A study of potential non-relativistic QED pairs in the Keldysh-Schwinger formalism
• Long and short distance behavior of the imaginary part of the heavy-quark potential
• Transport coefficients of heavy quarkonia comparing with heavy quark coefficients
• Complex-valued in-medium potential between heavy impurities in ultracold atoms
• In-medium heavy-quarkonium from lattice QCD spectral functions