Gyulassy, So.Padre, TX

4/8/08 1

YIAM talking about ZYAM?

Electron data seem to falsify pQCD HQ dynamics unless Bottom quark production is suppressed

(i.e. Is RHIC charming but not beautiful ?)

Is Bottom Jet Puzzle related to Machs?

Bothc+b

conly

Gyulassy, So.Padre, TX

4/8/08 2

pQCD Band

Clash of pQCD vs AdS/CFT Paradigms

WHDG

Can be experimentally resolved by identified Bottom/Charm Jet Tomography

W.Horowitz, MG: nucl-th/0706.2336 

AdS Band

pQCD Band

AdS BandSpeed limits not shown

Gyulassy, So.Padre, TX

4/8/08 3

YIAM unhappy about ZYAM

Miklazarus Gyulassy

April 8, 2008

ZYAM

S.Padre, TX

Is this a Mach Cone or Experimental Artifact or Just Radial Flow Coupling ?

Can light quark/glue di-jet correlations help solve Bottom Jet Puzzle?

Gyulassy, So.Padre, TX

4/8/08 4

John Harris’ Mach Cone Experiment near S. Padre Island

M

Gyulassy, So.Padre, TX

4/8/08 5

GSI Director Dr Mach Stoecker

M

Nuclear Mach Cone Theory 1973-

M

To RHIC Discoveries 2004:nucl-th/0406018

Gyulassy, So.Padre, TX

4/8/08 6

Head

BowShock

Primary Mach Wake

Beam “Plume”

Shear Cocoon

2nd Mach

Gyulassy, So.Padre, TX

4/8/08 7

ACTIVE GALACTIC NUCLEI AND JETS

http://www.einstein-online.info/en/spotlights/hydrodynamics_realm/index.html

Gyulassy, So.Padre, TX

4/8/08 8QM2008

Relativistic Hydro with Jet B. Betz et al QM08

Gyulassy, So.Padre, TX

4/8/08 9

Part 1: YIAMunhapwZYAM

Part 2: YIAM still not happy with Machs either

0) Texas Red Neck Mach Model

1) g2Nc/4>> 1 AdS predicts Mach wakes are weak in comparison to Neck+Head (Noronha,Betz,Torieri,MG)

2) g2Nc/4<< 1 pQCD jet Radiative energy loss also predicts no Mach like dips (Vitev)

3) Could it be just radial flow? (Pruneau,Voloshin,Gavin)

Gyulassy, So.Padre, TX

4/8/08 10

Phys. Rev. Lett. 97, 052301 (2006)

PHENIX

Introduction to ZYAM

Exp:

Fit func

Gyulassy, So.Padre, TX

4/8/08 11

Mapping out the jet correlation landscape: A Perspective from PHENIX experiment. Jiang-yong Jia Int.J.Mod.Phys.E16:3058,2008

1) Two component Model

2) Fit a0: CAB(min)=0

Gyulassy, So.Padre, TX

4/8/08 12

But at SPS “Mach Cone “ cannot be due to Perfect Fluidity !!

Huge dissipative effects in Hadron Resonance Corona

Gavin; Hirano, MG

Gyulassy, So.Padre, TX

4/8/08 13

J.W. Goethe tests of ZYAM assumptions

Stefan Kniege

Gyulassy, So.Padre, TX

4/8/08 14

Unhappy with ZYAM (assumed Zero Yield At Minimum)

Because 1% errors on the magnitude of an assumed independent “Background” (the sQGP signal)

produces a factor of 2 variation of the azimuthal correlationsshape relative to a flat C() near

The “Mach” signal is tiny ~ 1% in correlation func

Systematic errors need much more attention

Recent progress by McCumber (PHENIX) is an attempt to measure background level, but even then the Assumption of two independent Jet+QGP sources is dubious

Gyulassy, So.Padre, TX

4/8/08 15

Part 2: Theory Problems with Mach Modeling

2.0 The Texas Red-neck Mach Model

Gyulassy, So.Padre, TX

4/8/08 16

A Comment on conical flow induced by heavy-quark jets.

F. Antinori, E.V. Shuryak, J.Phys.G31:L19,2005.

Trigger Jet

“Mach

Wake

”

NonHydroHead

“Diffusion Plume”

Observed Angular and spectral distribution

Is a superposition

dN/ddpTd = Mach wake + Diffusion Plume + + Flowing Bulk sQGP + Jet Head + Neck

Sound

cs t

Casaderrey-S, Teaney, Shuryak hep-ph/0602183

J.Noronha, B. Betz, G. Torrieri, MG (08)

Head/Neck

Gyulassy, So.Padre, TX

4/8/08 17

Texas Red Neck Model of Heavy Quark Mach Cones and Diffusion Plumes

=

Hard Head Red Neck

MachAngleDiffusion

Plume

http://www.thechickenfishspeaks.com/Photos/fashion%20fun-Red%20Neck.jpg

Gyulassy, So.Padre, TX

4/8/08 18

Part 2.1

The AdS/CFT String model of Mach wake + friends

(Cooper-Frying the AdS Black Brane)

Jorge Noronha, B. Betz, G. Torieri, MG

Gyulassy, So.Padre, TX

4/8/08 19

Some references on AdS drag and induced Stress flow

We use numericalStress results from these

Gyulassy, So.Padre, TX

4/8/08 20

Heavy Quark Model as string in AdS5XS5 hanging from a D7 brane boundary

Myer 07

AdS5

D3

Gyulassy, So.Padre, TX

4/8/08 21

Ulery QM08

Mach Cones in SYM Plasmas via the AdS/CFT conjecture Heavy Quark String Drag Picture

HeadNeck

2006-Herzog et alGubser et alYaffe et al

You are here X

Inside BH

Gyulassy, So.Padre, TX

4/8/08 22

AdS/CFT Drag assumes:

SYM plasma QCD plasma

~ 30

~ 15

0.15

Gyulassy, So.Padre, TX

4/8/08 23

For “realistic” parameters AdS/String Mach+Diffusion wake disturbance remains small ~10% relative to “background” SYM Except in Head+Neck r < 2/T Bow Shock zone region

Gubser,Pufu,Yarom AdS drag numerical solution

=5.5 =6

Gyulassy, So.Padre, TX

4/8/08 24

Flow velocity field is also small v < 0.1 even for vQ=0.9cExcept in Head +Neck region

Only Head region has v>0.1

BowShock

Gyulassy, So.Padre, TX

4/8/08 25

Near Zone Navier-Stokes Analysis of Heavy Quark Jet Quenching in an N =4 SYMJorge Noronha, Giorgio Torrieri, MG, hep-ph 0712.1053

Use Yarom’s analytic near field solution to investigate the breakdown of Navier Stokes.Conclusion: Deviations limited to small “Head Zone” |x| < 2/T ~ 0.5 fm

Knudsen number

Pressure Anisotropy

Vjet=0.99 c

x1=(x-vt)/T

K(x1,r)

Px/Pz

r =

x T/ T

Gyulassy, So.Padre, TX

4/8/08 26

Recent Advances in 2nd order AdS/Hydro

Gyulassy, So.Padre, TX

4/8/08 27

Generically, such a metric (we will denote it by g(0)(b(xμ), βi(xμ)) is not a solution to Einstein’s equations.

if all derivatives of the parameters b(xμ) and βi(xμ) are small, is locally well approximated by a boosted black brane.

Local boosted black brane metric solves Einstein provided the functions b(xμ) and βi(xμ) obey a set of equations of motion, which turn out simply to be the equations of boundary fluid dynamics

The expansion parameter is 1/LT where L is the scale of gradients of the parameters and T is the Hawking Temperature of the Black Brane

Gyulassy, So.Padre, TX

4/8/08 28

Kc~11 T

Acausal forShort wavelength

< 0.5 /T

Gyulassy, So.Padre, TX

4/8/08 29

To convert AdS T(x) stress information into Hadron angular and spectral intensities

In AdS ~ static SYM plasma assume an isochronous freeze-out

We used full numerical AdS solution of Gubser, Pufu, Yarom(http://arxiv.org/pdf/0706.4307) with Causal and Head cuts

Causa

l cut

Head/Neck cut

RH

Plume cut

0

Gyulassy, So.Padre, TX

4/8/08 30

T=200 T=250

T=3001) Mach wake produces no dip Due to thermal smearing

2) All AdS azimuthal signal comes from Bow shock Head+(red) Neck region where local equilib CF is however unjustified !!

J.Noronha et al 2008AdS/ Cooper Fryed to Pions

Gyulassy, So.Padre, TX

4/8/08 31

Conclusions:

1) Mach Cones or Away Side Dips are very generic phenomena, but interpretation in AA is nontrivial due to Multi-source (nonZYAM) contributions to azimuthal yields

Yield()= Mach+Plume+Neck+Head+sQGP

2) AdS/CFT is most sophisticated beyond-hydro dynamicalModel that features all the above in one self consistent framework

3) Unfortunately, most of the interesting azimuthal signal is generated by the non-equilibrium Neck + Head r < 2/T region !!

4) Other , e.g. Radial + Longitudinal Flow, effects may actually dominate signals of tiny 2 and 3 particle associated observables