quasiparticle perspective on cep
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
Quasiparticle Perspective on CEP
B. KämpferResearch 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
Imp
rove
d c
alc
uls
.
Quasiparticle Model
latticeeffective1-loop selfenergies
stat. + thermo.consist.:),( Tp
Biele fe ld 2001
E. Shuryak:
Bielefeld-Swansea data
c0
c2
c4
c6
phase transition
Important forCosmology: T(t)
Important forCosmology: n(t)
c2 QPM susceptibility
peak:crit. behavior
Isentropic Expansionchemical freeze-out: T, muB s/n
QPM thermodynamics looks fine
Nf=2
Including the CEP
1.
B )(T, (r,h)2.
h
r
Tkink in
div. of
PhenomenologicalConstruction
(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
1.
2. critical curve
3. CEP:
additional information
Allton et al. 2002170 MeV
Fodor-Katz
pQCD
333
Finite Grid Effects
CEP:Attractor - Repulsor
no focusing effect
Wambach et al.
unphysical
CEP
Barz,Kämpfer,Csernai,LukacsPLB 1984
A Funnel Effect due to Phase Transition?
1D Hydro &relaxation time approx.
focusing effect
squeezing of chem. freeze-out pointsexp. not observed
Toy Model II: 2-Phase Ansatz
Nonaka, Asakawa (2004)
critical curve:given by
Toy Model III: QPM & CEP
change of effective carriersof baryon number fluctuations
lattice
Need of Modifying lQCD by CEP?
Conjecture: hydro evolution ofv2, pT at top-RHIC & LHC does not feel CEP
using P. Kolbs code + init.parametersKolb-Rapp off-equilibrium hadron EoS
with U. Heinz/Ohio
K. Paech et al.Hydro with CEP
Aoki
Karsch
Bernard 0.1
Bernard 0.2
2+1 EoS ready? RHICInit.conds.
A Family of EoS‘s
QPM
lin.interpol.
*fix
+
+
+
interpolation is betterthan extrapolation
sound waves
Strange Baryons
data disfavor phase transitionHuovinen 2005: opposite conclusion (inspection of small pT)
non-hydro behavior of open charm?
D Mesons Meson
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 fromwounded 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