From Kadanoff-Baym dynamics to off-shell parton transport

Abstract

This review provides a written version of the lectures presented at the Schladming Winter School 2008, Austria, on 'Nonequilibrium Aspects of Quantum Field Theory'. In particular, it shows the way from quantum-field theory - in two-particle irreducible approximation - to the Kadanoff-Baym (KB) equations and various approximations schemes of the KB equations in phase space. This ultimately leads to the formulation of an off-shell transport theory that well incorporates the underlying quantum physics. Remarkably, these transport equations may be solved within a testparticle representation that allows to study non-equilibrium quantum systems in the weak and strong coupling regime. Actual applications to dilepton production in heavy-ion reactions are presented in comparison with available data. The approach, furthermore, allows to address the hadronization process from partonic to hadronic degrees of freedom.

89 pages, 52 figures, lecture notes of the Schladming Winter School on 'Nonequilibrium Aspects of Quantum Field Theory'; to be published in a special issue of Eur. Phys. J

References in corpus (129)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Towards the Theory of Reheating After Inflation
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Relativistic Hadron-Hadron Collisions in the Ultra-Relativistic Quantum Molecular Dynamics Model (UrQMD)
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Classical Equations for Quantum Systems
• Aspects of the Functional Renormalisation Group
• The QCD transition temperature: results with physical masses in the continuum limit
• Hadron production in central nucleus-nucleus collisions at chemical freeze-out
• Hadronization in heavy ion collisions: Recombination and fragmentation of partons
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• The QCD thermal phase transition in the presence of a small chemical potential
• Dyson-Schwinger equations: a tool for hadron physics
• Infrared Properties of QCD from Dyson-Schwinger equations
• Formation of superdense hadronic matter in high energy heavy-ion collisions
• Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
• Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade
• Lattice Results on QCD Thermodynamics
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• Dissipation via Particle Production in Scalar Field Theories
• First Measurement of the rho Spectral Function in High-Energy Nuclear Collisions
• Self-induced conversion in dense neutrino gases: Pendulum in flavour space
• Scaling behavior at high p_T and the p/pi ratio
• Rho Meson Propagation and Dilepton Enhancement in Hot Hadronic Matter
• Transport Coefficients of Gluon Plasma
• The equation of state in lattice QCD: with physical quark masses towards the continuum limit
• Towards a Theory of Binary Bound States in the Quark-Gluon Plasma
• Enhancement of low-mass dileptons in heavy-ion collisions
• Perfect Fluidity of the Quark Gluon Plasma Core as Seen through its Dissipative Hadronic Corona
• Static quark anti-quark free energy and the running coupling at finite temperature
• Relativistic Transport Approach for Nucleus-Nucleus Collisions from SIS to SPS Energies
• Analytic and Numerical Study of Preheating Dynamics
• Parton transport and hadronization from the dynamical quasiparticle point of view
• Controlled nonperturbative dynamics of quantum fields out of equilibrium
• Non-Equilibrium Quantum Fields in the Large N Expansion
• The entropy of the QCD plasma
• The hot non-perturbative gluon plasma is an almost ideal colored liquid
• Medium Modifications of the Rho Meson at CERN/SPS Energies
• The QCD equation of state at nonzero densities: lattice result
• Dielectron Cross Section Measurements in Nucleus-Nucleus Reactions at 1.0 A GeV
• Thermalization of Quantum Fields from Time-Reversal Invariant Evolution Equations
• Soft Collective Excitations in Hot Gauge Theories
• Reheating and Thermalization, Linear Vs. Non-Linear Relaxation
• Dilepton Radiation at the CERN Super Proton Synchrotron
• A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
• Medium effects in high energy heavy-ion collisions
• Kaon versus Antikaon Production at SIS Energies
• Elliptic flow from a parton cascade
• Comprehensive Interpretation of Thermal Dileptons at the SPS
• Quantum dynamics and thermalization for out-of-equilibrium phi^4-theory
• e+e--pair production in Pb-Au collisions at 158 GeV per nucleon
• Nonequilibrium time evolution of the spectral function in quantum field theory
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Semiclassical transport of particles with dynamical spectral functions
• Dielectron production in 12C+12C collisions at 2 AGeV with HADES
• A Lattice Calculation of Thermal Dilepton Rates
• A Boltzmann Equation for the QCD Plasma
• Dilepton production and off-shell transport dynamics at SIS energies
• Resonance Transport and Kinetic Entropy
• A Family of Equations of State Based on Lattice QCD: Impact on Flow in Ultrarelativistic Heavy-Ion Collisions
• QCD thermodynamics and confinement from a dynamical quasiparticle point of view
• Can Disordered Chiral Condensates Form? A Dynamical Perspective
• Dilepton Production from AGS to SPS Energies within a Relativistic Transport Approach
• Self-Consistent Approximations to Non-Equilibrium Many-Body Theory
• Open charm and charmonium production at relativistic energies
• Antikaon production in A+A collisions at SIS energies within an off-shell G-matrix approach
• Study of dielectron production in C+C collisions at 1 AGeV
• Semiclassical transport of hadrons with dynamical spectral functions in A+A collisions at SIS/AGS energies
• Dilepton mass spectra in p+p collisions at sqrt(s)= 200 GeV and the contribution from open charm
• Stochastic interpretation of Kadanoff-Baym equations and their relation to Langevin processes
• Braaten-Pisarski Method at Finite Chemical Potential
• Nonequilibrium Quantum-Field Dynamics and Off-Shell Transport for ${\varphi }^4$-theory in 2+1 dimensions
• Open charm production in relativistic nucleus-nucleus collisions
• Dynamical renormalization group resummation of finite temperature infrared divergences
• Self-consistent approximations in relativistic plasmas: Quasiparticle analysis of the thermodynamic properties
• Probing the Rho Spectral Function in Hot and Dense Nuclear Matter by Dileptons
• Di-Electron Bremsstrahlung in Intermediate-Energy pn and Dp Collisions
• Parton rescattering and screening in Au+Au collisions at RHIC
• Finite Temperature Meson Correlation Functions in HTL Approximation
• Exact Conservation Laws of the Gradient Expanded Kadanoff-Baym Equations
• Suppression of high transverse momentum hadrons at RHIC by (pre-) hadronic final state interactions
• HTL quasiparticle models of deconfined QCD at finite chemical potential
• Quantum dynamics of phase transitions in broken symmetry $\lambda {\varphi }^4$ field theory
• Inelastic quantum transport in superlattices: success and failure of the Boltzmann equation
• Low mass dilepton production at ultrarelativistic energies
• HTL Resummation of the Thermodynamic Potential
• Antikaon production in nucleon-nucleon reactions near threshold
• Hard gluon damping in hot QCD
• QCD Equations of State and the QGP Liquid Model
• Relaxation and Kinetics in Scalar Field Theories
• The \bar q q Bound States and Instanton Molecule at T >~ T_c
• Squeeze-out of nuclear matter in peripheral heavy-ion collisions and momentum-dependent effective interactions
• Coupled Hartree-Fock-Bogoliubov kinetic equations for a trapped Bose gas
• Energy and system size dependence of charged particle elliptic flow and $v_2/\eps$ scaling
• Problems of Perturbation Series in Non-Equilibrium Quantum Field Theories
• Low-mass dileptons and dropping rho meson mass
• Real-time Relaxation and Kinetics in Hot Scalar QED: Landau Damping
• Equation of state of deconfined matter within dynamical quasiparticle description
• Hadron formation and attenuation in deep inelastic lepton scattering off nuclei
• Enhancement of low-mass dileptons in SPS heavy-ion collisions: possible evidence for dropping rho meson mass in medium
• Elliptic flow and freezeout from the parton cascade MPC
• Enhancement of the dielectron continuum in sqrt{s_NN} = 200 GeV Au+Au collisions
• Comparison of Boltzmann Kinetics with Quantum Dynamics for a Chiral Yukawa Model Far From Equilibrium
• Self-consistent Approach to Off-Shell Transport
• Thermalization of an Interacting Quantum Field in the CTP-2PI Next-to-leading-order Large N Scheme
• Hard parton damping in hot QCD
• Life time of resonances in transport simulations
• Effective Z(2) Spin Models of Deconfinement and Percolation in SU(2) Gauge Theory
• 3-D hydro + cascade model at RHIC
• A Transport Equation for Quantum Fields with Continuous Mass Spectrum
• Equilibration within a semiclassical off-shell transport approach
• Non-equilibrium QCD: Interplay of hard and soft dynamics in high-energy multi-gluon beams
• Chemical Equilibration in Relativistic Heavy Ion Collisions
• Correlations in Many-Body Systems with Two-time Green's Functions
• Comments on the topological open membrane
• Transport Theory of Massless Fields
• Continuous Decoupling of Dynamically Expanding Systems
• Viscosities of Hot Gluon -- A Lattice QCD Study --
• Complex Plasmas as a Model for the Quark-Gluon-Plasma Liquid
• Partons in Phase Space
• Jet quenching by (pre--)hadronic final state interactions at RHIC
• The QCD equation of state at finite T/μon the lattice
• Quark and gluon distributions at the earliest stage of heavy ion collision
• Strangelets accelerated by pulsars in galactic cosmic rays
• Dilepton emission rates from hot hadronic matter
• Nonequilibrium Evolution of Correlation Functions: A Canonical Approach
• Quark description of nuclear matter
• Convergence properties of the cluster expansion for equal-time Green functions in scalar theories
• Cluster Expansion Approach to the Effective Potential in ${\Phi }_{2+1}^4$-Theory

Cited by in corpus (103)

• Electromagnetic field evolution in relativistic heavy-ion collisions
• Transport-theoretical Description of Nuclear Reactions
• Parton-Hadron-String Dynamics: an off-shell transport approach for relativistic energies
• Parton-Hadron-String Dynamics at Relativistic Collider Energies
• Tomography of the Quark-Gluon-Plasma by Charm Quarks
• Towards the determination of heavy-quark transport coefficients in quark-gluon plasma
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Hydrodynamic Approaches in Relativistic Heavy Ion Reactions
• Charm production in Pb+Pb collisions at the Large Hadron Collider energy
• Effective QCD and transport description of dilepton and photon production in heavy-ion collisions and elementary processes
• Electrical Conductivity of Hot QCD Matter
• Parton-Hadron-Quantum-Molecular Dynamics (PHQMD) -- A Novel Microscopic N-Body Transport Approach for Heavy-Ion Collisions, Dynamical Cluster Formation and Hypernuclei Production
• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Hadronic and partonic sources of direct photons in relativistic heavy-ion collisions
• Spin alignment of vector mesons in heavy-ion collisions
• Exploring the partonic phase at finite chemical potential within an extended off-shell transport approach
• Examination of the directed flow puzzle in heavy-ion collisions
• Collisional processes of on-shell and off-shell heavy quarks in vacuum and in the Quark-Gluon-Plasma
• Shear and bulk viscosities of strongly-interacting 'infinite' parton-hadron matter within the parton-hadron-string transport approach
• Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Chiral symmetry restoration in heavy-ion collisions at intermediate energies
• Azimuthal anisotropies for Au+Au collisions in the parton-hadron transient energy range
• Analysis of dilepton production in Au+Au collisions at sqrt(s_NN)=200 GeV within the Parton-Hadron-String Dynamics (PHSD) transport approach
• Chiral symmetry restoration versus deconfinement in heavy-ion collisions at high baryon density
• Electric and magnetic response of hot QCD matter
• Effects of hadronic rescattering on multistrange hadrons in high-energy nuclear collisions
• Dilepton production in nucleus-nucleus collisions at top SPS energy within the Parton-Hadron-String Dynamics (PHSD) transport approach
• Equation of state dependence of directed flow in a microscopic transport model
• Charge-dependent directed flow in asymmetric nuclear collisions
• Dynamical collisional energy loss and transport properties of on- and off-shell heavy quarks in vacuum and in the Quark Gluon Plasma
• Photon elliptic flow in relativistic heavy-ion collisions: hadronic versus partonic sources
• Transport coefficients for the hot quark-gluon plasma at finite chemical potential ${\mu }_B$
• A dynamical quasiparticle approach for the Quark-Gluon-Plasma bulk and transport properties
• In-medium effects in strangeness production in heavy-ion collisions at (sub-)threshold energies
• Cluster and hyper-cluster production in relativistic heavy-ion collisions within the Parton-Hadron-Quantum-Molecular-Dynamics approach
• Neutrino event generators: foundation, status and future
• Open charm and dileptons from relativistic heavy-ion collisions
• Molecular dynamics description of an expanding $q$/$\bar{q}$ plasma with the Nambu--Jona-Lasinio model and applications to heavy ion collisions at RHIC and LHC energies
• Dilepton production in proton-proton and Pb+Pb collisions at sqrt(s_NN)=2.76 TeV
• Dynamical equilibration of strongly interacting "infinite" parton matter within the parton-hadron-string dynamics transport approach
• Diffusion coefficient matrix of the strongly interacting quark-gluon plasma
• The first moment of azimuthal anisotropy in nuclear collisions from AGS to LHC energies
• Evolution to the Quark-Gluon Plasma
• Dynamical mechanisms for deuteron production at mid-rapidity in relativistic heavy-ion collisions from SIS to RHIC energies
• Transport coefficients of heavy quarks around $T_c$ at finite quark chemical potential
• Impact of the initial size of spatial fluctuations on the collective flow in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
• Dilepton Radiation from Strongly Interacting Systems
• QLBT: A linear Boltzmann transport model for heavy quarks in a quark-gluon plasma of quasi-particles
• Measurement of dielectron production in central Pb-Pb collisions at $\sqrt{{\text{s}}_{\mathrm{NN}}}$ = 2.76 TeV
• $K^{\ast }$ vector meson resonances dynamics in heavy-ion collisions
• Vector meson's spin alignments in high energy reactions
• Probing the hot and dense nuclear matter with $K^{\ast },{\bar{K}}^{\ast }$ vector mesons
• Single electrons from heavy-flavor mesons in relativistic heavy-ion collisions
• Baryon-antibaryon annihilation and reproduction in relativistic heavy-ion collisions
• The quark susceptibility in a generalized dynamical quasiparticle model
• Charm and Bottom Hadrons in Hot Hadronic Matter
• Phenomenology of photon and di-lepton production in relativistic nuclear collisions
• Influence of electromagnetic fields in proton-nucleus collisions at relativistic energy
• Comparison of heavy ion transport simulations: Ag+Ag collisions at Elab = 1.58 AGeV
• Heavy quark scattering and quenching in a QCD medium at finite temperature and chemical potential
• Thermalization of magnons in yttrium-iron garnet: nonequilibrium functional renormalization group approach
• Separation of Equilibration Time-Scales in the Gradient Expansion
• p-Pb collisions at 5.02 TeV in the Parton-Hadron-String-Dynamics transport approach
• Properties of the QGP created in heavy-ion collisions
• Traces of non-equilibrium dynamics in relativistic heavy-ion collisions
• Exploring jet transport coefficients by elastic scattering in the strongly interacting quark-gluon plasma
• In-medium kinetic theory of $D$ mesons and heavy-flavor transport coefficients
• Transport properties of the hot and dense sQGP
• Quark scattering off quarks and hadrons
• The hadronization time of heavy quark in nuclear matter
• Event-by-event fluctuations in p+p and central A+A collisions within relativistic transport models
• Constraints on the kinetic mixing parameter ${\epsilon }^2$ for the light dark photons from dilepton production in heavy-ion collisions in the few-GeV energy range
• QCD equation of state in a virial expansion
• Midrapidity cluster formation in heavy-ion collisions
• What are the early degrees of freedom in ultra-relativistic nucleus-nucleus collisions?
• Inelastic and elastic parton scatterings in the strongly interacting quark-gluon plasma
• Microcausality in strongly interacting fields
• Dilepton production from parton interactions in the early stage of relativistic heavy-ion collisions
• Probing dense QCD matter: Muon measurements with the CBM experiment at FAIR
• Entropy current for the relativistic Kadanoff-Baym equation and H-theorem in $O(N)$ theory with NLO self-energy of $1/N$ expansion
• QCD at finite chemical potential in and out-of equilibrium
• Entropy production for an interacting quark-gluon plasma
• A statistical model to calculate inclusive hadronic cross sections
• Properties of the partonic phase at RHIC within PHSD
• Probing the symmetry energy at high baryon density with heavy ion collisions
• Jet transport coefficients by elastic and radiative scatterings in the strongly interacting quark-gluon plasma
• Exploring the partonic phase at finite chemical potential in and out-of equilibrium
• Towards the dynamical study of heavy-flavor quarks in the Quark-Gluon-Plasma
• Spin Boltzmann equation for non-relativistic spin-1/2 fermions
• The QGP phase in relativistic heavy-ion collisions
• Parton-hadron dynamics in heavy-ion collisions
• Probing of EoS with clusters and hypernuclei
• Constraints on Kinetic Mixing of Dark Photons from Dilepton Spectra
• Covariant transport approach for strongly interacting partonic systems
• A possible evidence of observation of two mixed phases in nuclear collisions
• Transport Model Comparison Studies of Intermediate-Energy Heavy-Ion Collisions
• Toward a Unified Understanding of the Dense Matter Equation of State
• The quest for the quark-gluon plasma from the perspective of dynamical models of relativistic heavy-ion collisions
• Simultaneous muon and reference hadron measurements in the Compressed Baryonic Matter experiment at FAIR
• Multicomponent Modified Boltzmann Equation and Thermalization
• Hubble's Law in Heavy Ion Collisions
• Emissivity and conductivity of parton-hadron matter