Shuai Liu Ralf Rapp Cyclotron Institute Department of Physics and Astronomy Texas AampM University College Station TX USA 1 Outline 1 Background and Motivation 2 Thermodynamic T Matrix Approach ID: 1002938
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1. T-Matrix Approach to QGPShuai Liu, Ralf RappCyclotron Institute + Department of Physics and AstronomyTexas A&M UniversityCollege Station, TX, USA1
2. Outline1) Background and Motivation2) Thermodynamic T-Matrix Approach3) Studying the Microscopic Structure of QGP4) Conclusion and Perspective2
3. An Many-Body Approach3The ability to reduce everything to simple fundamental laws does not imply the ability to start from those laws and reconstruct the universe --P. W. Anderson QCD Lagrangian Quantum many-body theoryQuantum many-body theory QCD Lagrangian T-matrix approach:in-medium color force,equation of state, spectral functions,transport propertiesSolve a problem!In-medium color forceS.Liu+RR’ 17HotQCD, 14EoSSpectral propertiesS.Liu+RR’ 17CMS, 17Transport properties
4. The Starting Partonic HamiltonianIn-medium Hamiltonian-effective in-medium mass Interaction ansatz: Cornell potential with relativistic correction- color Coulomb and string (“confining”) interactionStarting point for many-body approach[Liu+RR 16&17]4 J. Richardson,79Recover QCD at HQ limitInclude the confining interaction effectively (nonperturbative effect)Inputs: and
5. Thermodynamic T-Matrix Approach Self-consistent self-energy: T-matrix equation: 5Many-body diagramsDynamical bound states generation (nonperturbative effect)Scattering states in equal footing Thermodynamic potential: Luttinger–Wald functional (LWF):
6. Inputs and ConstraintsExisting multiple solutions for and consistent with these data Inputs: and Constraints: lattice EoS, lattice free energy, lattice correlator ratio 6HotQCD, 14G.Aarts,07Mocsy, Petreczky, Strickland,13Lattice EoSLattice free energyLattice correlator ratior [fm]2 Tcr [fm]1.2 Tc(T-matrix)Quark MassGluon Mass Remnant of long-range “confining” force (vacuum structures) in QGP S.Liu+RR’ 15 and 17 Decoupling of the gluons around due to large mass Strongly coupled solution
7. Transition of Degrees of Freedom Pressure[S.Liu+RR 16, 17]7Mixture of quarks and hadrons with strong mutual transitions (board width) Broad hadronic resonances emerge near , dominate EoS Mesonic S wave Parton spectral functionImaginary part of T-matrix
8. Charm BottomParton Spectral Functions in QGP Up/Down + Gluon QGP structure changes with resolution scale Soft parton quasi-particles dissolve but re-emerge with increasing , p Similar width (~1 GeV) for all quarks allowing heavy quark probe for light partons properties 8Stay quasiparticle,clean prober [fm]1.2 TcFlattice dataV
9. Weakly Coupled Solution & Strongly Coupled Solution Existing weakly coupled solution besides the strongly coupled solution discussed in previous slides9 r [fm]1.2 Tc(T-matrix)(Strong)V (Weak)Solid: Full ResultDashed: LWFWeak, StrongSmall two-body resonancesA weak string potentialSharp (quasiparticle) spectral functionsSufficient condition:Strong two-body resonancesA large string potentialbroad (non-quasiparticle) spectral functionsSufficient condition:Strong two-body resonancesA large string potentialbroad (non-quasiparticle) spectral functionsTransport properties of QGP (shown in next slide)If “weak =strong”,“sufficient and necessary ” :
10. Viscosity and Heavy-Quark Diffusion Strongly coupled: Perturbative: Transition as T increases 10Strongly coupled limit ViscositySpatial diffusion coefficient:Strongly coupled solution preferred by experimental observables
11. Conclusion and Perspective11Many-body T-matrix approach consistent with:-Three lattice QCD data (EoS, Free energy, Quarkonium correlator)The solutions can predicts the correlations:-A strong force with large remnant string term not far above -Strong broad resonance states at low temperature and transition of degrees of freedom-Broad non-quasi-particle spectral functions at low temperature low momentum -Transport properties of the QGP (small , small ) Experimental observations suggest the microscopic structure of QGP is closer to strongly coupled scenario predicted by T-matrix approachIn the future: finite density physics, non-perturbative radiative energy loss, improving starting Hamiltonian.... More details in: “SYF Liu, R Rapp, PRC, 97, 034918, 2018”, “SYF Liu, R Rapp, arXiv:1612.09138”
12. Quarkonium Euclidean Correlator (SCS)Intermediate dissociation/regeneration rate for quarkoniumSequential dissociation/regenerationNo strong temperature dependence of 12
13. Langevin simulation of HQ Viscosity and Heavy-Quark Diffusion13
14. Preliminary for Quark Number Susceptibilities 14Heavy light susceptibilitiesPreliminary ResultsLight quark susceptibilitiesT(GeV)T(GeV)Preliminary Result
15. Relaxation Rate15Preliminary ResultsRadiative Induced Relaxation Rate 1/fmp(GeV)Collision induced Relaxation Rate