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Jet correlations at RHIC via AdS/CFT

Jet correlations at RHIC via AdS/CFT. (and entropy production). Amos Yarom, Munich. together with: S. Gubser and S. Pufu. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A A A A A A A A A A. The quark gluon plasma at RHIC. Measuring jets. .

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Jet correlations at RHIC via AdS/CFT

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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 TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAAAAAA

  2. The quark gluon plasma at RHIC

  3. Measuring jets

  4.  Measuring jets

  5. =p Measuring di-jets

  6. (STAR, 0701069) Measuring di-jets

  7. (STAR, 0701069) Measuring di-jets =

  8. (STAR, 0701069) Measuring di-jets »-1

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

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

  11. Mach cones and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) »-1

  12. AdS5 CFT AdS/CFT J. Maldacena N=4 SYM plasma via AdS/CFT Vacuum Empty AdS5 gYM2 N L4/’2 L3/2 G5 N2 J. Maldacena hep-th/9711200

  13. AdS5 CFT T>0 N=4 SYM plasma via AdS/CFT Empty AdS5 Thermal state Vacuum AdS5 BH gYM2 N L4/’2 L3/2 G5 N2 Horizon radius Temperature J. Maldacena hep-th/9711200 E. Witten hep-th/9802150

  14. 0 x1 xi, t AdS5 CFT Thermal state AdS5 BH gYM2 N L4/’2 z0 1/ T z0 L3/2 G5 N2 z Horizon radius Temperature E. Witten hep-th/9802150 AdS Black holes

  15. AdS5 CFT z0 AdS/CFT J. Maldacena Static quarks (Maldacena, 1996) 0 ? ? Heavy quark Endpoints of an open string J. Maldacena hep-th/9803002 z

  16. AdS5 CFT z0 Moving quarks (Holzhey, Karch, Kovtun, Kozcaz, Yaffe, 2006, Gubser 2006, Teaney Cassalderrey-Solana, 2006) 0 ? Massive parton Endpoints of an open string J. Maldacena hep-th/9803002 z

  17. AdS5 CFT z0 The energy momentum tensor 0 Gubser, Klebanov, Polyakov hep-th/9802109 Witten hep-th/9802150 De Haro, Solodukhin, Skenderis, hep-th/0002230 z

  18. 0 AdS5 CFT z0 z Metric fluctuations AdS black hole The energy momentum tensor Gmn(z,k) Gubser, Klebanov, Polyakov hep-th/9802109 Witten hep-th/9802150 De Haro, Solodukhin, Skenderis, hep-th/0002230

  19. z0 The energy momentum tensor (Friess, Gubser, Michalogiorgakis, Pufu, 2006) 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. k(iSj) =1/2(ki Sj+kj Si)-1/3 ij kl Sl = <T00> s = 4 /3  Sj = -<T0j> The hydrodynamic approximation (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) Large distances – linear hydrodynamic picture valid 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. (STAR, 0701069) Mach cones, wakes and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006)

  30. (STAR, 0701069) Mach cones, wakes and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) Jhydro=(e0, g0, 0, 0) Jhydro=(0, k1, k2, k3)g1

  31. 0 z0 z The Poynting vector

  32. The Poynting vector (Gubser, Pufu, AY, 2007 Chesler, Yaffe, 2007) S? S1 V=0.25 V=0.58 V=0.75

  33. Sound Waves Small momentum asymptotics (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007) 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. z0 F Just been calculated 0 z Energy analysis (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007) ?

  37. Energy analysis

  38. Energy analysis =

  39. (STAR, 0701069) = Energy analysis 25-30

  40. z0 Other theories (Gubser, AY,2007) 0 z

  41. z0 Other theories (Gubser, AY, 2007) (Yaffe, Chesler, 2007) 0 z

  42. (STAR, nucl-ex/0701069) Mach cones, wakes and di-jets (STAR, 0510055) (PHENIX, 0611019) 0.15 GeV<p?<4 GeV

  43. Mesons (Gubser, Pufu, AY,2007) 0 z0 z

  44. l l → → v v Mesons (Gubser, Pufu, AY,2007) 0 z0 z

  45. Mesons (Gubser, Pufu, AY,2007) 0 z0 z

  46. 0 0 z0 z0 z Mesons (Gubser, Pufu, AY,2007)

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

  48. 0 z0 z General analysis (Gubser, AY,2008) J Dh=J 1) J» O(z-1) 2) rJ=0 3) “Causal” Dh=J 10

  49. 0 z0 z General analysis (Gubser, AY,2008) Dh=J Fine print Fine print

  50. 0 z0 z General analysis (Gubser, AY,2008) Dh=J

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