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Quasiparticle Perspective on CEP

Quasiparticle Perspective on CEP. B. Kämpfer. Research Center Rossendorf/Dresden Technical University Dresden. Quasiparticle Model vs. Lattice QCD Including the CEP - Somewhat Hydro. with M. Bluhm, R. Schulze, D. Seipt, supported by BMBF, GSI, EU. nothing. NJL Perspective.

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Quasiparticle Perspective on CEP

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  1. Quasiparticle Perspective on CEP B. Kämpfer Research Center Rossendorf/Dresden Technical University Dresden • Quasiparticle Model vs. Lattice QCD • Including the CEP • - Somewhat Hydro with M. Bluhm, R. Schulze, D. Seipt, supported by BMBF, GSI, EU

  2. nothing NJL Perspective (Fodor et al.) NJL Model (Schaefer-Wambach) PNJL: Weise, Ratti,...

  3. Lattice QCD Results 1. Phase Boundary Improved calculs. 2. EoS = 0 Taylor expansion reweighting, overlapping, complex mu

  4. Quasiparticle Model lattice 1-loop selfenergies effective stat. + thermo.consist.

  5. Bielefeld 2001 E. Shuryak:

  6. Bielefeld-Swansea data Important for Cosmology: T(t) c0 phase transition Important for Cosmology: n(t) c2 c6 c4

  7. c2  QPM  susceptibility peak: crit. behavior

  8. Isentropic Expansion chemical freeze-out: T, muB  s/n Nf=2 QPM thermodynamics looks fine

  9. T ) kink in (T, (r,h) 2. div. of h r Including the CEP Gebhard, Krey 1. QPM Phenomenological Construction (holds only near CEP)

  10. 3. Singular Part of EoS: Parametric Form QCD: 3D Ising Model Guida+Zinn-Justin

  11. 0=const (r,h) (R, ) R=const h=const r=const

  12. Toy Model I: smooth reg. EoS 1. pQCD 2. critical curve additional information 170 MeV Allton et al. 2002 3. CEP: Fodor-Katz 333

  13. Finite Grid Effects

  14. CEP CEP: Attractor - Repulsor unphysical no focusing effect Wambach et al.

  15. A Funnel Effect due to Phase Transition? Barz, Kämpfer, Csernai, Lukacs PLB 1984 1D Hydro & relaxation time approx. focusing effect squeezing of chem. freeze-out points exp. not observed

  16. Toy Model II: 2-Phase Ansatz Nonaka, Asakawa (2004) critical curve: given by

  17. Toy Model III: QPM & CEP

  18. lattice change of effective carriers of baryon number fluctuations

  19. Need of Modifying lQCD by CEP? K. Paech et al. Hydro with CEP Conjecture: hydro evolution of v2, pT at top-RHIC & LHC does not feel CEP using P. Kolbs code + init.parameters Kolb-Rapp off-equilibrium hadron EoS with U. Heinz/Ohio

  20. 2+1 EoS ready? RHIC Init.conds. Karsch Bernard 0.2 Bernard 0.1 Aoki

  21. A Family of EoS‘s QPM + lin.interpol. + + fix * sound waves interpolation is better than extrapolation

  22. Strange Baryons data disfavor phase transition Huovinen 2005: opposite conclusion (inspection of small pT)

  23. D Mesons Meson non-hydro behavior of open charm? or K?

  24. Looking for Hydro Scaling

  25. To Do List 1. shape fluctuations K. Werner (core-corona) 2. shape & energy density fluctuations T. Kodama et al.

  26. Summary & Outlook -- Lattice QCD vs. Quasiparticle Model: perfect description of either p(T,0) or p(T,mu) extrapolation to larger mu consistency of chem.freeze-out and isentropes -- Toy models for including CEP: many free parameters, size of critical region = ? lattice QCD + CEP = small effects allowed -- v2 hydro: RHIC: EoS at Tc does not matter too much -- CERN-SPS – CBM-FAIR: very different

  27. back up slides

  28. hydro lQCD QCD QPM EoS

  29. Relativistic Hydro with U. Heinz/Ohio Init. Conds.: b dependent profiles from wounded nucleon & binary collisions s < 110 fm-3, nB < 0.4 fm-3: RHIC200 P. Kolb et al. Freeze-out: Cooper-Frye, T = 100 MeV Kolb-Rapp off-equilibrium EoS: p(e,nB), T(e,nB), muB(e,nB)

  30. Interpolation is Better than Extrapolation * lQCD lQCD/res.gas/KR V2: weak dependence on EoS

  31. w/o CEP

  32. The 10% Problem c2  c0 c0

  33. Weak Dependence of v2 on EoS

  34. Progress of lQCD: High-density part fixed High Density EoS x tiny baryon density effects QPM(2.0) : bag model QPM(1.0) Progress of lQCD: Low-density part fixed (=resonance gas: Redlich)

  35. with CEP

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