Quasiparticle Perspective on CEP B. Kämpfer Research Center Rossendorf/Dresden Technical University Dresden with M. Bluhm, R. Schulze, D. Seipt, supported.

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Presentation transcript:

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

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

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

Quasiparticle Model lattice effective1-loop selfenergies stat. + thermo.consist.

Bielefeld 2001 E. Shuryak:

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

c2  QPM  susceptibility peak: crit. behavior

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

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

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

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

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

Finite Grid Effects

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

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

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

Toy Model III: QPM & CEP

change of effective carriers of baryon number fluctuations lattice

Need of Modifying lQCD by 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 K. Paech et al. Hydro with CEP

Aoki Karsch Bernard 0.1 Bernard EoS ready? RHIC Init.conds.

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

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

non-hydro behavior of open charm? D MesonsMeson or K?

Looking for Hydro Scaling

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

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

QPM lQCD QCD EoS hydro

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

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

w/o CEP

The 10% Problem c0 c2  c0

Weak Dependence of v2 on EoS

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

with CEP