Jet correlations at RHIC via AdS/CFT (and entropy production) Amos Yarom, Munich together with: S. Gubser and S. Pufu
The quark gluon plasma at RHIC
Measuring jets
Measuring jets φ
Measuring di-jets φ=π
Measuring di-jets (STAR, 0701069)
Measuring di-jets (STAR, 0701069) φ=π
Measuring di-jets (STAR, 0701069) φ»π 1
Creation of sound waves (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006)
Creation of sound waves (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006)
φ»π 1 Mach cones and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006)
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/9711200
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/9802150 hep-th/9711200
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/9802150
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/9803002 z
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/9803002 z
The energy momentum tensor 0 AdS 5 CFT Gubser, Klebanov, Polyakov hep-th/9802109 Witten hep-th/9802150 De Haro, Solodukhin, Skenderis, hep-th/0002230 z 0 z
The energy momentum tensor 0 AdS 5 CFT G mn z,k) Gubser, Klebanov, Polyakov hep-th/9802109 Witten hep-th/9802150 De Haro, Solodukhin, Skenderis, hep-th/0002230 z 0 z AdS black hole Metric fluctuations
The energy momentum tensor (Friess, Gubser, Michalogiorgakis, Pufu, 2006) 0 z 0 z
Energy density for v=3/4 (Gubser, Pufu, AY, 2007 Chesler, Yaffe, 2007) Over energy Under energy
v=0.75 v=0.58 v=0.25
Small momentum approximations (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007)
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
Energy density for v=3/4
0
Short distance asymptotics (Gubser, Pufu, 2007, AY, 2007)
Wakes
Mach cones, wakes and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006)
Mach cones, wakes and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) (STAR, 0701069)
Mach cones, wakes and di-jets (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) (STAR, 0701069) J hydro =(e 0, g 0, 0, 0) J hydro =(0, k 1, k 2, k 3 )g 1
The Poynting vector 0 z 0 z
The Poynting vector S 1 S? (Gubser, Pufu, AY, 2007 Chesler, Yaffe, 2007) V=0.25 V=0.58 V=0.75
Small momentum asymptotics (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007) Sound Waves Wake
Comparison with the phenomenological model (Casalderrey-Solana, Shuryak, Teaney, 2004, 2006) V=0.75
Energy analysis (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007)
Energy analysis (Friess, Gubser, Michalogiorgakis, Pufu, 2006 Gubser, Pufu, AY, 2007)? 0 F µ Just been calculated z 0 z
Energy analysis
Energy analysis =
Energy analysis (STAR, 0701069) = 25-30
Other theories (Gubser, AY,2007) 0 z 0 z
Other theories (Gubser, AY, 2007) (Yaffe, Chesler, 2007) 0 z 0 z
Mach cones, wakes and di-jets (PHENIX, 0611019) (STAR, (STAR, nucl-ex/0701069) 0510055) 0.15 GeV<p? <4 GeV
Mesons (Gubser, Pufu, AY,2007) 0 z 0 z
Mesons (Gubser, Pufu, AY,2007) 0 l l v z 0 z
Mesons (Gubser, Pufu, AY,2007) 0 z 0 z
Mesons (Gubser, Pufu, AY,2007) 0 0 z 0 z 0 z
Mesons (?) (Gubser, Pufu, AY,2007) u s b d c t? M > T?
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
General analysis (Gubser, AY,2008) 0 D h =J z 0 z Fine print Fine print
General analysis (Gubser, AY,2008) 0 D h =J z 0 z
General analysis (Gubser, AY,2008) 0 D h =J z 0 z Absence of a wake: Fine print
Entropy production
Entropy production (PHOBOS, 2003) S ¼ 7.5 N charged
Head on collisions in AdS Penrose, unpublished Eardley and Giddings, 2002 (Gubser, Pufu, AY, to appear) (related work by Romatschke and Grumiller, 2008) =
A head-on collision LHC 1.6 (PHOBOS, 2003)
Head on collisions in AdS?
Summary Data (STAR, 0701069) Pheno. model N=4 theory =
Summary Data (STAR, 0701069) = ALICE
Thank you
Summary Data (STAR, 0701069) Pheno. model N=4 theory ALICE =
Thank you