Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators

Abstract

We study the spin-dependent in-medium dynamics of quarkonia by using the potential nonrelativistic QCD (pNRQCD) and the open quantum system framework. We consider the pNRQCD Lagrangian valid up to the order $\frac{r}{M^0}=r$ and $\frac{r^0}{M}=\frac{1}{M}$ in the double power counting. By considering the Markovian condition and applying the Wigner transformation upon the diagonal spin components of the quarkonium density matrix with the semiclassical expansion, we systematically derive the Boltzmann transport equation for quarkonia with polarization dependence in the quantum optical limit. Unlike the spin-independent collision terms governed by certain chromoelectric field correlators, new gauge invariant correlators of chromomagnetic fields determine the recombination and dissociation terms with polarization dependence at the order we are working. We also derive a Lindblad equation describing the in-medium transitions between spin-singlet and spin-triplet heavy quark-antiquark pairs in the quantum Brownian motion limit. The Lindblad equation is governed by new transport coefficients defined in terms of the chromomagnetic field correlators. Our formalism is generic and valid for both weakly coupled and strongly coupled quark gluon plasmas. It can be further applied to study spin alignment of vector quarkonia in heavy ion collisions.

38 pages; v2: published version

References in corpus (93)

• The Color Glass Condensate
• Effective field theories for heavy quarkonium
• Some Features of the Glasma
• Real-time static potential in hot QCD
• Collective Modes of an Anisotropic Quark-Gluon Plasma
• Static quark-antiquark pairs at finite temperature
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Spin Alignment of Vector Mesons in Non-central A+A Collisions
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Polarization of $\Lambda$ ($\bar{\Lambda }$) hyperons along the beam direction in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• J/psi Transverse Momentum Distribution in High Energy Nuclear Collisions
• Polarization and Vorticity in the Quark Gluon Plasma
• In-Medium Effects on Charmonium Production in Heavy-Ion Collisions
• Quarkonium suppression in heavy-ion collisions: an open quantum system approach
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• J/psi Production in Quark-Gluon Plasma
• Evidence of spin-orbital angular momentum interactions in relativistic heavy-ion collisions
• Heavy Quarkonium in Extreme Conditions
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Heavy quarkonium suppression in a fireball
• Pattern of Global Spin Alignment of $\varphi$ and $K^{\ast 0}$ mesons in Heavy-Ion Collisions
• Energy density of the Glasma
• Color Screening and Regeneration of Bottomonia in High-Energy Heavy-Ion Collisions
• Heavy quark master equations in the Lindblad form at high temperatures
• J/$\psi$ polarization in pp collisions at $\sqrt{s}=7$ TeV
• The heavy-quark potential in an anisotropic 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
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• What can we learn from global spin alignment of $\varphi$ meson in heavy-ion collisions?
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Evidence for charmonium generation at the phase boundary in ultra-relativistic nuclear collisions
• Quantum and Classical Dynamics of Heavy Quarks in a Quark-Gluon Plasma
• Quarkonium In-Medium Transport Equation Derived from First Principles
• Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model
• Heavy quark bound states in a quark-gluon plasma: dissociation and recombination
• Doubly Heavy Baryons, Heavy Quark-DiQuark Symmetry and NRQCD
• The Schrödinger-Langevin equation with and without thermal fluctuations
• The approach to equilibrium of a quarkonium in a quark-gluon plasma
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Spin alignment of vector mesons in heavy-ion collisions
• Bottomonia suppression in 2.76 TeV Pb-Pb collisions
• Charmonium and open charm production in nuclear collisions at SPS/FAIR energies and the possible influence of a hot hadronic medium
• Dynamical dissociation of quarkonia by wave function decoherence
• Bottomonium Production at RHIC and LHC
• Local spin alignment of vector mesons in relativistic heavy-ion collisions
• Foundations and Applications of Quantum Kinetic Theory
• Poincare' invariance constraints on NRQCD and potential NRQCD
• Quantum Kinetic Theory of Spin Polarization of Massive Quarks in Perturbative QCD: Leading Log
• Coupled Boltzmann Transport Equations of Heavy Quarks and Quarkonia in Quark-Gluon Plasma
• Transport coefficients from in medium quarkonium dynamics
• Is bottomonium suppression in proton-nucleus and nucleus-nucleus collisions at LHC energies due to the same effects?
• Open Quantum Systems for Quarkonia
• Measurement of the J/$\psi$ polarization with respect to the event plane in Pb-Pb collisions at the LHC
• Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma
• Heavy quarkonia in a medium as a quantum dissipative system: Master-equation approach
• Quantum simulation of open quantum systems in heavy-ion collisions
• Quarkonium above deconfinement as an open quantum system
• Spin alignment of vector mesons by glasma fields
• Collisional and thermal dissociation of $J/\psi$ and ${\rm Y}$ states at the LHC
• Power counting and effective field theory for charmonium
• Bottomonia suppression 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
• First measurement of quarkonium polarization in nuclear collisions at the LHC
• Bottomonium Continuous Production from Unequilibrium Bottom Quarks in Ultrarelativistic Heavy Ion Collisions
• Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation
• Regeneration of bottomonia in an open quantum systems approach
• $J/\psi$ polarization in the CGC+NRQCD approach
• Bottomium suppression in PbPb collisions at LHC energies
• Strong Diffusion Effect of Charm Quarks on $J/\psi$ Production in Pb-Pb collisions at the LHC
• Measurement of the inclusive J/$\psi$ polarization at forward rapidity in pp collisions at $\sqrt{s}=8$ TeV
• Fate of in-medium heavy quarks via a Lindblad equation
• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Thermal Heavy Quark Self-Energy from Euclidean Correlators
• Spin polarization and correlation of quarks from glasma
• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• Production and polarization of $S$-wave quarkonia in potential nonrelativistic QCD
• QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle
• $J/\psi$ polarization in high multiplicity $pp$ and $pA$ collisions: CGC+NRQCD approach
• Quarkonium propagation in the quark gluon plasma
• Measurement of inclusive J/$\psi$ polarization in p+p collisions at $\sqrt{s}$ = 200 GeV by the STAR experiment
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• The spin-orbit potential and Poincaré invariance in finite temperature pNRQCD
• Rescattering effect on the measurement of K* spin alignment in heavy-ion collisions
• Quarkonium dynamics in the quantum Brownian regime with non-abelian quantum master equations
• Real-time Dynamics of the Schwinger Model as an Open Quantum System with Neural Density Operators
• Fireball tomography from bottomonia elliptic flow in relativistic heavy-ion collisions
• Generalized Gluon Distribution for Quarkonium Dynamics in Strongly Coupled $\mathcal{N}=4$ Yang-Mills Theory
• Lattice $B$-field correlators for heavy quarks
• Quarkonium polarization in Pb+Pb collisions in the improved color evaporation model

Cited by in corpus (2)

• Transverse and longitudinal spin alignment from color fields in heavy ion collisions
• Polarized Dissociation and Spin Alignment of Moving Quarkonium in Quark-Gluon Plasma