Jet correlations at RHIC via AdS/CFT (and entropy production)

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1 Jet correlations at RHIC via AdS/CFT (and entropy production) Amos Yarom, Munich together with: S. Gubser and S. Pufu

2 The quark gluon plasma at RHIC

3 Measuring jets

4 Measuring jets φ

5 Measuring di-jets φ=π

6 Measuring di-jets (STAR, )

7 Measuring di-jets (STAR, ) φ=π

8 Measuring di-jets (STAR, ) φ»π 1

9 Creation of sound waves (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006)

10 Creation of sound waves (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006)

11 φ»π 1 Mach cones and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006)

12 N=4 SYM plasma via AdS/CFT AdS 5 AdS/CFT CFT Empty AdS 5 L 4 / 2 J. Maldacena Vacuum g YM 2 N L 3 /2 G 5 N 2 J. Maldacena hep-th/

13 N=4 SYM plasma via AdS/CFT AdS 5 Empty AdS 5 AdS BH 5 L 4 / 2 CFT Thermal Vacuumstate 2 g YM N L 3 /2 G 5 N 2 T>0 Horizon radius Temperature J. E. Maldacena Witten hep-th/ hep-th/

14 AdS Black holes 0 x i, t x 1 AdS 5 CFT z 0 AdS 5 BH L 4 / 2 Thermal state g YM 2 N z 0 1/ T L 3 /2 G 5 N 2 z Horizon radius Temperature E. Witten hep-th/

15 Static quarks (Maldacena, 1996) 0?? AdS 5 Endpoints of an open string AdS/CFT J. Maldacena CFT Heavy quark z 0 J. Maldacena hep-th/ z

16 Moving quarks (Holzhey, Karch, Kovtun, Kozcaz, Yaffe, 2006, Gubser 2006, Teaney Cassalderrey-Solana, 2006) 0? AdS 5 Endpoints of an open string CFT Massive parton z 0 J. Maldacena hep-th/ z

17 The energy momentum tensor 0 AdS 5 CFT Gubser, Klebanov, Polyakov hep-th/ Witten hep-th/ De Haro, Solodukhin, Skenderis, hep-th/ z 0 z

18 The energy momentum tensor 0 AdS 5 CFT G mn z,k) Gubser, Klebanov, Polyakov hep-th/ Witten hep-th/ De Haro, Solodukhin, Skenderis, hep-th/ z 0 z AdS black hole Metric fluctuations

19 The energy momentum tensor (Friess, Gubser, Michalogiorgakis, Pufu, 2006) 0 z 0 z

20 Energy density for v=3/4 (Gubser, Pufu, AY, 2007 Chesler, Yaffe, 2007) Over energy Under energy

21 v=0.75 v=0.58 v=0.25

22 Small momentum approximations (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007)

23 The hydrodynamic approximation (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) Large distances linear hydrodynamic picture valid k (i S j) =1/2(k i S j +k j S i )-1/3 ij k l S l = s S= j = <T 4 -<T /3 00 > 0j > Intermediate distances nonlinear hydrodynamics Short distances Strong dissipative effects

24 Energy density for v=3/4

25 0

26 Short distance asymptotics (Gubser, Pufu, 2007, AY, 2007)

27 Wakes

28 Mach cones, wakes and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006)

29 Mach cones, wakes and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) (STAR, )

30 Mach cones, wakes and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) (STAR, ) J hydro =(e 0, g 0, 0, 0) J hydro =(0, k 1, k 2, k 3 )g 1

31 The Poynting vector 0 z 0 z

32 The Poynting vector S 1 S? (Gubser, Pufu, AY, 2007 Chesler, Yaffe, 2007) V=0.25 V=0.58 V=0.75

33 Small momentum asymptotics (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007) Sound Waves Wake

34 Comparison with the phenomenological model (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) V=0.75

35 Energy analysis (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007)

36 Energy analysis (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007)? 0 F µ Just been calculated z 0 z

37 Energy analysis

38 Energy analysis =

39 Energy analysis (STAR, ) = 25-30

40 Other theories (Gubser, AY,2007) 0 z 0 z

41 Other theories (Gubser, AY, 2007) (Yaffe, Chesler, 2007) 0 z 0 z

42 Mach cones, wakes and di-jets (PHENIX, ) (STAR, (STAR, nucl-ex/ ) ) 0.15 GeV<p? <4 GeV

43 Mesons (Gubser, Pufu, AY,2007) 0 z 0 z

44 Mesons (Gubser, Pufu, AY,2007) 0 l l v z 0 z

45 Mesons (Gubser, Pufu, AY,2007) 0 z 0 z

46 Mesons (Gubser, Pufu, AY,2007) 0 0 z 0 z 0 z

47 Mesons (?) (Gubser, Pufu, AY,2007) u s b d c t? M > T?

48 General analysis (Gubser, AY,2008) z 0 0 J z D h =J 1) J» O(z -1 ) 2) r J =0 3) Causal D h =J 10

49 General analysis (Gubser, AY,2008) 0 D h =J z 0 z Fine print Fine print

50 General analysis (Gubser, AY,2008) 0 D h =J z 0 z

51 General analysis (Gubser, AY,2008) 0 D h =J z 0 z Absence of a wake: Fine print

52 Entropy production

53 Entropy production (PHOBOS, 2003) S ¼ 7.5 N charged

54 Head on collisions in AdS Penrose, unpublished Eardley and Giddings, 2002 (Gubser, Pufu, AY, to appear) (related work by Romatschke and Grumiller, 2008) =

55 A head-on collision LHC 1.6 (PHOBOS, 2003)

56 Head on collisions in AdS?

57 Summary Data (STAR, ) Pheno. model N=4 theory =

58 Summary Data (STAR, ) = ALICE

59 Thank you

60 Summary Data (STAR, ) Pheno. model N=4 theory ALICE =

61 Thank you