1. Workshop on Modeling of the Parton-Hadron Phase Transition The Summary
Zhe Xu
Frankfurt Institute for Advanced Studies
Sept 23-24, 2010, Villasimius, Sardinia, Italy

2. (Physical) Motivation Talk by Greiner, Torrieri
We know that there should be a (phase) transition from partons to hadrons,
confirmed by the experimental findings.
for exsample: Jet quenching at RHIC indicates a deconfined phase of partons,
and we observe only hadrons.

3. Equation of State is important for freeze-out procedures
in hydrodynamical calculations.
Talk by Werner, Cheng, Horvat.

4. Equation of State in Hydrodynamic Models
hadrons, quarks, Polyakov loop and excluded volume
Talk by Schramm
quark, meson, baryon densities at µ = 0
natural mixed phase,
quarks dominate beyond 1.5 Tc
Energy density and pressure compared
to lattice simulations

5. Lattice QCD
Talk by Ratti

6. Probing the phase diagram
Talk by
Redlich
Nahrgang

8. Lattice QCD results model calculations :
To see deviations from HRG results due to deconfinement and chiral transtion one needs to measure higher order fluctuations:
Lattice QCD results model calculations :
C. Schmidt

9. (Physical) Motivation
We know that there should be a (phase) transition from partons to hadrons,
confirmed by the experimental findings.
for exsample: Jet quenching at RHIC indicates a deconfined phase of partons,
and we observe only hadrons.
We do not know yet how partons hadronize.
There are no first principle calculations.
We have to model the parton-hadron phase transition, which is a dynamical
process.

10. Model 1
String Model
PYTHIA

11. Strings break to hadrons.
UrQMD, GiBUU, (P)HSD, ...
Strings break to (pre)hadrons in cold nuclear matter.
Talk by Gallmeister. Study EMC,Hermes,CLAS with linear cross sections
Strings break to Hagedron States.
Talk by Beitel
Strings break to partons, which leads to a bumpy spatial structure.
Talk by Werner
Formation of hadrons inside the QGP. Mass-Ordering in RAA. Smaller v2?
Talk by Bellwied

12. Model 2 H Coalescence Models Talk by Greco Parton spectrum Baryon
Meson
Fragmentation
V. Greco et al./ R.J. Fries et al., PRL 90(2003)

13. Coalescence carries another features …
Considering only momentum space
-> x - p correlation neglected
narrow wave function
collinear approximation
Enhancement of v2
Molnar and Voloshin, PRL91 (2003)
v2 for baryon is larger
and saturates at higher pT
GKL (PRC68) includes:
Radial flow x-p correlation
finite width wave function
No free parameter !

14. convincing argument for deconfinement and formation of QGP Problems:
Success:
convincing argument for deconfinement and formation of QGP
Problems:
energy conservation
non-decreasing entropy
gluons
only for (anti)quarks with intermediate pT
...

15. Model 3
Parton-Hadron-String Dynamics
Talk by Cassing

17. Model 4 NJL Model, talk by Marty
keep energy conservation and entropy growing

18. Model 5
Statistical Model
Talk by Ferroni and Bignamini

20. Boltzmann algorithm: pairwise combination + separation
Model 6
Non-extensive Model
Talk by Biro
Boltzmann algorithm: pairwise combination + separation
With associative composition rule at independence:
Such rules generate ‘exponential of the formal logarithm’ distribution

21. Outlook
Models should convince us, why they are suited for
describing the dynamical parton-hadron transition.

22. (Personal) Motivation
Results from the parton cascade BAMPS (Xu&Greiner)

24. A naive hadronization: parallel splitting
-> dE_T/dy and v2 do not change.

25. Coalescence
We need to implement the parton-hadron transition in BAMPS.