1. Holographic Thermalization Irina Aref'eva Steklov Mathematical Institute, RAN, Moscow International Conference on Physics “In Search of Fundamental Symmetries” dedicated to the 90-th birthday anniversary of Yuri Victorovich Novozhilov

4. Thermalization of QFT in Minkowski D-dim space- time Black Hole formation in Anti de Sitter (D+1)-dim space-time Hologhraphic thermalization

5. Models of BH creation in D=5 and their relations with HIC in D=4 Main idea: make some perturbation S of AdS metric that near the boundary “mimic” the mater (heavy ions) collisions and see what happens. AdS/CFT correspondence perturbationS of AdS 4-dim of colliding matter

6. Models: 1) shock waves collision in AdS 2) infalling shell How to “mimic” the heavy ions collision Hologhraphic thermalization

7. Thermalization time Multiplicity Physical quantities that we expect to get: Black hole formation time Entropy D=5 AdS D=4 Minkowski Hologhraphic thermalization

8. Thermalization time Experimental data (just estimations) Holographic estimations Position of horizon ~ size of the trapped surface Bjorken, 1983 d

9. Multiplicity Plot from: ATLAS Collaboration 1108.6027 Experimental data PbPb pp:

10. The black hole entropy can be estimated by trapped surface area Gubser, Pufu, Yarom, JHEP, 2009 Alvarez-Gaume at al PLB, 2009 IA, Bagrov, Guseva, JHEP, 2009 Kiritsis, Taliotis, JHEP, 2011 Multiplicity as entropy D=4. Macroscopic theory of high-energy collisions Landau(1953); Fermi(1950) thermodynamics, hydrodynamics, kinetic theory, … Multiplicity as entropy D=5. Holographic approach Main conjecture: multiplicity ~ entropy of produced D=5 Black Hole Gubser et al: 0805.1551

11. Nucleus collision in AdS/CFT The metric of two shock waves in AdS corresponding to collision of two ultrarelativistic nucleus in 4D

12. Multiplicity: Hologhrapic formula vs experimental data

13. Gursoy, Kiritsis, Nitti IHQCD Search for models with suitable entropy Metric with modified b-factor Reproduces 2-loops QCD beta-function Reproduce an asymptotically-linear glueball spectrum

14. Shock wave metric with modified b-factor Search for models with suitable entropy Kiritsis, Taliotis, JHEP(2012) Typical behavour not 0.15

15. Shock walls collision with modified by b-factor I. A., E.Pozdeeva,T.Pozdeeva (2013,2014) Description of HIC by the wall-wall shock wave collisions S. Lin, E. Shuryak, 0902.1508 I. A., Bagrov and E.Pozdeeva, JHEP(2012) w S points ~s walls

16. Power-law b-factor S walls = The multiplicity depends as s 0.15 NN in the range 10-10 3 GeV Power-law b-factor coinsides with experimental data at a≈0.47. Price: non standard kinetic term !? We consider

17. AdS with soft-wall x[fm] O. Andreev and V. Zakharov hep-ph/0604204 R.Galow at al, 0911.0627 S.He, M.Huang, Q.Yan 1004.1880 Multiplicity vs quark potential Coulomb term Confinement linear potential Question: can we fit this background with other data?

18. Multiplicity vs quark potential AdS 5 Soft/hard wall Interpolating geometry?

19. Multiplicity and quark potential with D.Ageev arXiv:1409.7558

20. Multiplicity and quark potential Trapped surface Pack the trapped surface in the interval Estimation of the termalization time Small energies!

21. Anisotropy after thermalization In the past: it has been claimed that the pre- equilibrium period can only exist for up to 1 fm/c and after that, the QGP becomes isotropic Now: corrections to ideal isotropic behavior even at times ~2 fm/c

22. Anisotropy after thermalization Experimental evidence for anisotropies: jet quenching, changes in R-mod.factor, photon and dilepton,yields, QGP is anisotropic for a short time after collision The time of locally isotropization is about This gives a reason to consider BH formation in anizotropic background

23. Multiplicity with anisotropic Lifshitz background IA, A. Golubtsova arXiv:1410.4595 Shock wave Solves E.O.M. if

24. Multiplicity with anisotropic Lifshitz background Domain wall

25. Multiplicity with anisotropic Lifshitz background Colliding Domain Walls To get

26. Conclusion Formation of QGP of 4-dim QCD  BH formation in 5-dim b-factor that fits experimental data: BH formation in Lif.-like 5-dim models BH formation in flow from AdS to Lif (work in progress) 1) Multiplicity 2) Cornell qq-potential BH formation in isotropic 5-dim models (AdS, b-factor)