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Entropy production from AdS/CFT

Entropy production from AdS/CFT. Amos Yarom. 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. x 2. x 1. Overview. x 1 ,x 2. S. =?. x 3. Overview. S. =?. ?. E. AdS/CFT. A. J. Maldacena.

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Entropy production from AdS/CFT

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  1. Entropy production from AdS/CFT Amos Yarom Together with: S. Gubser and S. Pufu TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAAAAAA

  2. x2 x1 Overview x1,x2 S =? x3

  3. Overview S =? ? E

  4. AdS/CFT A J. Maldacena E Overview S E

  5. S A E E Overview ?

  6. x? x? x3 x3 t t z AdS5 space 0 z=z1 z=z0 1

  7. x? x3 t z AdS5 space 0 1

  8. x? x3 Head on collisions in AdS 0 1 z

  9. x? x3 z=z* Energy of the particle Location of the particle Head on collisions in AdS 0 t=x3 u=t-x3 v=t+x3 1 z

  10. x? x3 z=z* Head on collisions in AdS 0 1 z

  11. x? x3 z=z* Collisions 0 1 z

  12. t x? 0 x3 z=z* x3 x? 1 z Collisions z=z*

  13. t=-x t=x Collisions t z=z* t=0 x3 x?

  14. Collisions t ? z=z* t=0 x3 x?

  15. t x An event horizon In an asymptotically flat spacetime, an event horizon is the boundary of the region of all events which do not lie in the chronological past of future (null) infinity.

  16. An event horizon In an asymptotically flat spacetime, an event horizon is the boundary of the region of all events which do not lie in the chronological past of future (null) infinity. t x

  17. Collisions Penrose, unpublished t ? z=z* t=0 x3 x?

  18. Penrose’s trick t l x3 x?

  19. Penrose’s trick t A2 l A0 A1 x3 x? A1¸A0 A2¸

  20. Computing the trapped surface Penrose, unpublished t Eardley and Giddings, 2002 ? v=0 u=-(x?,z) u=0 v=-(x?,z) t=0 u=0 x3 l v=- (x?,z*) x? x?

  21. t ? v=0 u=-(x?,z) u=0 v=-(x?,z) t=0 x3 l x? Computing the trapped surface

  22. x2 x1 z=L z Computing the trapped surface

  23. A0 4 G5 Computing the trapped surface =

  24. CFT AdS5 AdS/CFT J. Maldacena CFT observables ? R L

  25. AdS5 AdS5 CFT CFT Thermal state Black hole AdS/CFT J. Maldacena CFT observables

  26. AdS5 CFT AdS/CFT J. Maldacena CFT observables A/4G5 S S ¸ (Comparison with Lin and Shuryak, 2009)

  27. A/4G5 S AdS5 CFT Comapring to QCD ? S ¸

  28. QCD vrs. CFT = ? ?

  29. QCD vrs. CFT = 19.7 TeV = ? =E(4.3fm)2= ?

  30. ? QCD vrs. CFT = 19.7 TeV = =E(4.3fm)2=

  31. QCD vrs. CFT E=19.7 TeV z*2=(4.3 fm)2 7.5 Ncharged» S (Pal and Pratt nucl-th/0308077) ?

  32. LHC A head-on collision £ 1.6 (PHOBOS, 2003)

  33. z << L z >> L AdS/CFT J. Maldacena Slicing AdS space zUV < z < zIR 1/(2 GeV) » » 1/(0.2 GeV)

  34. Geometry of the trapped surface t z=z* v=0 u=-(x?,z) u=0 v=-(x?,z) t=0 x3

  35. Geometry of the trapped surface

  36. Geometry of the trapped surface A0» E2/3

  37. z << L z >> L Geometry of the trapped surface 1/L << E << UV E >> UV A0» E2/3 A0» E1/3

  38. LHC Head-on collisions £ 1.6 (PHOBOS, 2003) £ 0.8 (Sliced AdS)

  39. 2z* Off center collisions

  40. Off center collisions

  41. Off center collisions CFT: QCD:

  42. Off center collisions

  43. LHC Summary £ 1.6 £ 0.8

  44. Summary

  45. Summary

  46. Thank you

  47. LHC Summary £ 1.6 £ 0.8

  48. Thank you

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