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YIAM talking about ZYAM?. Is Bottom Jet Puzzle related to Machs?. Both c+b. c only. Electron data seem to falsify pQCD HQ dynamics unless Bottom quark production is suppressed (i.e. Is RHIC charming but not beautiful ?). Clash of pQCD vs AdS/CFT Paradigms. pQCD Band. pQCD Band. WHDG.
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YIAM talking about ZYAM? Is Bottom Jet Puzzle related to Machs? Both c+b c only Electron data seem to falsify pQCD HQ dynamics unless Bottom quark production is suppressed (i.e. Is RHIC charming but not beautiful ?)
Clash of pQCD vs AdS/CFT Paradigms pQCD Band pQCD Band WHDG AdS Band AdS Band Speed limits not shown Can be experimentally resolved by identified Bottom/Charm Jet Tomography W.Horowitz, MG: nucl-th/0706.2336
Can light quark/glue di-jet correlations help solve Bottom Jet Puzzle? YIAM unhappy about ZYAM Miklazarus Gyulassy April 8, 2008 ZYAM Is this a Mach Cone or Experimental Artifact or Just Radial Flow Coupling ? S.Padre, TX
John Harris’ Mach Cone Experiment near S. Padre Island p/2-qM
p/2-qM GSI Director Dr Mach Stoecker Nuclear Mach Cone Theory 1973- To RHIC Discoveries 2004:nucl-th/0406018 qM
Primary Mach Wake 2nd Mach Shear Cocoon Bow Shock Beam “Plume” Head
ACTIVE GALACTIC NUCLEI AND JETS http://www.einstein-online.info/en/spotlights/hydrodynamics_realm/index.html
Relativistic Hydro with Jet B. Betz et al QM08 QM2008
Part 1: YIAMunhapwZYAM • Part 2: YIAM still not happy with Machs either • 0) Texas Red Neck Mach Model • g2Nc/4p >> 1 AdS predicts Mach wakes • are weak in comparison to Neck+Head • (Noronha,Betz,Torieri,MG) • 2) g2Nc/4p << 1pQCD jet Radiative energy loss • also predicts no Mach like dips (Vitev) • 3) Could it be just radial flow? • (Pruneau,Voloshin,Gavin)
PHENIX Introduction to ZYAM Phys. Rev. Lett. 97, 052301 (2006) Exp: Fit func
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(fmin)=0
But at SPS “Mach Cone “ cannot be due to Perfect Fluidity !! Huge dissipative effects in Hadron Resonance Corona Gavin; Hirano, MG
J.W. Goethe tests of ZYAM assumptions Stefan Kniege
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 correlations shape relative to a flat C(Df) near Df=p 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
Part 2: Theory Problems with Mach Modeling 2.0 The Texas Red-neck Mach Model
A Comment on conical flow induced by heavy-quark jets. F. Antinori, E.V. Shuryak, J.Phys.G31:L19,2005. NonHydro Head cst Trigger Jet Sound “Mach Wake” “Diffusion Plume” Observed Angular and spectral distribution Is a superposition dN/dhdpTdf = Mach wake + Diffusion Plume + + Flowing Bulk sQGP + Jet Head + Neck Casaderrey-S, Teaney, Shuryak hep-ph/0602183 Head /Neck J.Noronha, B. Betz, G. Torrieri, MG (08)
Texas Red Neck Model of Heavy Quark Mach Cones and Diffusion Plumes Hard Head Red Neck Mach Angle = Diffusion Plume http://www.thechickenfishspeaks.com/Photos/fashion%20fun-Red%20Neck.jpg
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
Some references on AdS drag and induced Stress flow We use numerical Stress results from these
Heavy Quark Model as string in AdS5XS5 hanging from a D7 brane boundary Myer 07 D3 AdS5
Mach Cones in SYM Plasmas via the AdS/CFT conjecture Heavy Quark String Drag Picture You are here X Ulery QM08 Inside BH Head Neck 2006- Herzog et al Gubser et al Yaffe et al
AdS/CFT Drag assumes: SYM plasma QCD plasma ~ 15 ~ 30 0.15
Gubser,Pufu,Yarom AdS drag numerical solution l=5.5 l=6p For “realistic” parameters AdS/String Mach+Diffusion wake disturbance remains small ~10% relative to “background” SYM Except in Head+Neck Dr < 2/pT Bow Shock zone region
Flow velocity field is also small Dv < 0.1 even for vQ=0.9c Except in Head +Neck region Bow Shock Only Head region has v>0.1
Near Zone Navier-Stokes Analysis of Heavy Quark Jet Quenching in an N =4 SYM Jorge 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” |Dx| < 2/pT ~ 0.5 fm K(x1,r) Vjet=0.99 c Knudsen number r =xT/ pT x1=(x-vt)/pT Pressure Anisotropy Px/Pz
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
Acausal for Short wavelength l< 0.5 /T Kc~11 T
To convert AdS Tmn(x) stress information into Hadron angular and spectral intensities We used full numerical AdS solution of Gubser, Pufu, Yarom (http://arxiv.org/pdf/0706.4307) with Causal and Head cuts Causal cut De/e0 Head/Neck cut Plume cut RH In AdS ~ static SYM plasma assume an isochronous freeze-out
AdS/ Cooper Fryed to Pions J.Noronha et al 2008 T=200 T=250 T=300 • 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 !!
Conclusions: • 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(Df)= Mach+Plume+Neck+Head+sQGP • 2) AdS/CFT is most sophisticated beyond-hydro dynamical • Model 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 Dr < 2/pT region !! • 4) Other , e.g. Radial + Longitudinal Flow, effects may actually • dominate signals of tiny 2 and 3 particle associated observables