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RHIC physics and AdS/CFT

RHIC physics and AdS/CFT. 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. g YM. 1. ~ 170 MeV. Energy. Overview. The quark gluon plasma. ?. AdS/CFT. J. Maldacena.

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RHIC physics and AdS/CFT

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  1. RHIC physics and AdS/CFT 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. gYM 1 ~170 MeV Energy Overview • The quark gluon plasma ?

  3. AdS/CFT J. Maldacena Overview • The quark gluon plasma • N=4 SYM plasma via AdS/CFT

  4. Overview • The quark gluon plasma • N=4 SYM plasma via AdS/CFT ?

  5. Overview • The quark gluon plasma • N=4 SYM plasma via AdS/CFT • Energy loss of a moving quark

  6. Overview • The quark gluon plasma • N=4 SYM plasma via AdS/CFT • Energy loss of a moving quark

  7. Overview • The quark gluon plasma • N=4 SYM plasma via AdS/CFT • Energy loss of a moving quark • Summary

  8. H E A V Y I O N R E L A T I V I S T I C C O L L I D E R The quark gluon plasma at RHIC

  9. pT Jet quenching 197 ×

  10. Jet quenching (Phenix, 2005)

  11. Friction coefficient for QCD plasma

  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 Friction coefficient (Gubser 2006, Holzhey, Karch, Kovtun, Kozcaz, Yaffe, 2006, Teaney Cassalderrey-Solana, 2006) 0 ? Massive parton Endpoints of an open string J. Maldacena hep-th/9803002 z

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

  17. F F z0 Friction coefficient (Gubser 2006, Holzhey, Karch, Kovtun, Kozcaz, Yaffe, 2006, Teaney Cassalderrey-Solana, 2006) 0 z

  18. AdS/CFT J. Maldacena Friction coefficient (Gubser 2006, Holzhey, Karch, Kovtun, Kozcaz, Yaffe, 2006, Teaney Cassalderrey-Solana, 2006)

  19. Measurables which have been compared • Friction coefficient • Energy density • Shear viscosity • Jet quenching parameter (Gubser 2006, Holzhey, Karch, Kovtun, Kozcaz, Yaffe, 2006, Teaney Cassalderrey-Solana, 2006) (Gubser, Klebanov, Peet, 1996) (Policastro, Son, Starinets, 2001) (Liu, Rajagopal, Wiedemann, 2006)

  20. Measuring jets

  21.  Measuring jets

  22. =p Measuring di-jets

  23. (STAR, 0701069) Measuring di-jets

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

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

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

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

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

  29. AdS5 CFT z0 Mach cones in N=4 SYM 0 z

  30. 0 AdS5 CFT z0 z Metric fluctuations AdS black hole The energy momentum tensor Gmn(z,k)

  31. z0 The energy momentum tensor 0 z

  32. The energy momentum tensor Cylindrical symmetry Gauge choice Vector modes Tensor modes

  33. The energy momentum tensor Tensor modes Vector modes + first order constraint

  34. The energy momentum tensor Tensor modes Vector modes Scalar modes + first order constraint + 3 first order constraints

  35. Energy density for v=3/4 Over energy Under energy

  36. v=0.75 v=0.58 v=0.25

  37. Small momentum approximations 1-3v2 > 0 (subsonic)

  38. X1 > 0 Im(K1) Re(K1) v increases v decreases X1 < 0 Small momentum approximations 1-3v2 > 0 (subsonic)

  39. X1 > 0 Im(K1) Re(K1) v increases X1 < 0 X1 Small momentum approximations 1-3v2 < 0 (supersonic) 1-3v2 = 0 ? ?

  40. Small momentum approximations 1-3v2 < 0 (supersonic) 1-3v2 > 0 (subsonic)

  41. Small momentum approximations

  42. Im(K1) Re(K1) Small momentum approximations s=1/3 cs2=1/3

  43. Multi-scale analysis Large distances – linear hydrodynamic picture valid Intermediate distances – nonlinear hydrodynamics Short momenta – Strong dissipative effects

  44. Energy density for v=3/4

  45. 0

  46. v=0.75 v=0.58 v=0.25

  47. Large momentum approximations

  48. Large momentum approximations

  49. Large momentum approximations

  50. Large momentum approximations

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