1. Ultra-relativistic heavy ion collisions Theoretical overview ICPAQGP5, KOLKATA February 8, 2005 Jean-Paul Blaizot, CNRS and ECT*

2. Ultra-relativistic heavy ion collisions Explore properties of matter under extreme conditons (density, temperature) Study how QCD works in unusual conditions Much focus on formation of « quark-gluon plasma »

3. Fundamental questions What is the form of matter at « extreme » temperature or density? What is the wave function of a hadron, a nucleus, at asymptotically high energy? SIMPLICITY emerges in extreme (asymptotic) situations

4. At high temperature and/or high density matter is « simple »

5. (S. Bethke, hep-ex/0211012) QCD Interactions Weaken at High Energy

6. The quark-gluon plasma (from F. Karsch, hep-lat/0106019) Energy density Temperature Free gas limit

7. (from F. Kajantie et al, PRL86, PRD67) (from F. Karsch, hep-lat/0106019) Weakly interacting quasiparticles Weak coupling calculations provide adequate description Of the thermodynamics at high temperature SU(3) Pressure Dimensional reduction

8. T BB Hadronic matter Quark-Gluon Plasma Nuclei Colour superconductor The QCD phase diagram

9. Theory near Tc is difficult Degrees of freedom? Strong coupling? Bound states? … and present experiments may be Probing this region…

10. Speed of sounds decreases as one approaches Tc from above (from R. Gavai and S. Gupta ) (from F. Csikor et al, hep-lat/0401022) Simple quasiparticle picture breaks down close to Tc

11. How does the wavefunction of a nucleus look like at asymptotically high energy ?

12. High density partonic systems Parton density grows as x decreases

13. The very early stages of nucleus-nucleus collisions Physics of dense systems of quarks and gluons Weak coupling but many active degrees of freedom Non linear QCD effects become important when

14. Gluon saturation Saturation scale Non linear effects important when (Gribov, Levin, Ryskin 83) Large gluon densites at small x i.e. at a characterisitic scale (saturated regime)(dilute regime)

15. The saturation scale In a nucleus The densities in the central rapidity of a nucleus-nucleus collision at RHIC are similar to those at HERA. From fit to DIS (HERA) At the LHC At RHIC, smaller x can be reached in the forward rapidity region

16. Early stages of a nucleus-nucleus collision Partons set free have typical tranverse momenta They are set free at (proper) time At that time Phenomenology based on such arguments (refined) is reasonably successful at RHIC

17. High density partonic systems Large occupation numbers Classical fields McLerran-Venugopalan, etc. Non linear evolution equations Balitsky-Kovchegov equation COLOR GLASS CONDENSATE and JIMWLK(*) equation (*) Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner

18. Experimental discoveries at RHIC Large energy density achieved Collective behaviour observed Jet quenching and strong « final state » interactions Hints of gluon saturation And much more… ( Focus on observables sensitive to initial state)

19. Large energy density

20. Moderate increase of multiplicity with beam energy From Phenix White paper

21. Bjorken energy density

22. Elliptic flow

23. Produced particles flow preferentially in the reaction plane (J.-Y. Ollitrault, 1992) (P.F. Kolb, J. Sollfrank and U. Heinz, PRC 62 (2000) 054909)(S. Voloshin and Y. Zhang, 1994)

24. Elliptic flow (Phenix white paper)

25. Comparison with hydrodynamics (From U. Heinz, nucl-th/0412094)

26. Strong conclusions drawn from comparison with hydrodynamical calculations: - early thermalisation time - sensitivity to equation of state - low viscosity

27. Euler equationSpeed of sound Some simple remarks (*) (* R. Bhalerao, J-P B, N. Borghini, J.-Y. Ollitrault) The overall energy density scale is irrelevant for collective flow For constant speed of sound

28. The time scale for establishing elliptic flow is Argument for early thermalisation= based on delayed hydro expansion. Natural time scale is large: Small thermalisation time unatural (?) (ellipticity)

29. Good control parameter ? -initial energy density (no) -average number of collisions during the build up of elliptic flow (?) (From NA49, nucl-ex/0303001)

30. Jet quenching and strong « final state » interactions

31. q q Au-Au nucl-ex/0304022 Jet production in matter

32. (PHENIX, nucl-ex/0401001) Control experiment: d-AU

33. STAR: Phys.Rev.Lett.91:072304,2003

34. Hints of gluon saturation

35. Solution of the BK equation, Albacete et al, hep-ph/0307179 y 0 0.05 0.1 0.2 0.4 0.6 1 1.4 2 (Related analytical work by Iancu, Itakura, Triantafyllopoulos hep-ph/0403103) Suppression can also be due to initial state effects (nuclear wave function probed at small x; color glass condensate)

37. (Kharzeev, Kovchegov, Tuchin, hep-ph/0405045)

38. SUMMARY -Strongly interacting matter is produced in high energy nucleus-nucleus collisions. Large « initial » energy density. Collective behaviour. - Many (indirect) evidences that partonic degrees of freedom play an important role in the collision dynamics at RHIC - Early stages of the collisions, and hence « initial state effects » are important at RHIC (and will be more so at LHC). - Hints of saturation (color glass condensate) may be already present at RHIC. Phenomenology based on saturation ideas is reasonably successful at RHIC - QCD has become a central reference in the analysis of the data