Introduction and Welcome AdS/CFT Intersects Nuclear Beams at Columbia W.A. Zajc Columbia University 26-Oct-07 W.A. Zajc RHIC Perspectives W.A.
Download ReportTranscript Introduction and Welcome AdS/CFT Intersects Nuclear Beams at Columbia W.A. Zajc Columbia University 26-Oct-07 W.A. Zajc RHIC Perspectives W.A.
Introduction and Welcome
26-Oct-07
AdS/CFT Intersects Nuclear Beams at Columbia W.A. Zajc Columbia University
W.A. Zajc
26-Oct-07 W.A. Zajc
26-Oct-07
Outline of My Talk
W.A. Zajc
Really, It’s A Meta-Talk
26-Oct-07 Introduction, Motivation, Definition of terms up to here Two major discoveries: Flow Jet quenching W.A. Zajc
Really, It’s A Meta-Talk
26-Oct-07 Flow, v 2 scaling with n q W.A. Zajc
Really, It’s A Meta-Talk
26-Oct-07 Jet quenching, away-side disappearance, direct photons Mach cones, re-appearance of the away side W.A. Zajc
Really, It’s A Meta-Talk
26-Oct-07 Perfect liquid, KSS bound as QM result Viscosity primer W.A. Zajc
Really, It’s A Meta-Talk
26-Oct-07 The d énouement!
AdS/CFT connection h /s values W.A. Zajc
The Primacy of QCD
While the (conjectured) bound
h
s
4
is a purely quantum mechanical result . . .
It was derived in and motivated by the Anti-de Sitter space / Conformal Field Theory correspondence Weak form:
“Four-dimensional
N
=4 supersymmetric SU(N c ) gauge theory is equivalent to IIB string theory with AdS 5 x S 5 boundary conditions.” ( The Large N limit of superconformal field theories and supergravity , J. Maldacena, Adv. Theor. Math. Phys. 2, 231, 1998 hep-th/9711200 )
Strong form:
“Hidden within ( every non-Abelian gauge theory, even within the weak and strong nuclear interactions, is a theory of quantum gravity.” Gauge/gravity duality , G.T. Horowitz and J. Polchinski, gr-qc/0602037 )
Strongest form: fascinating connections over the full range of the coupling constant to study QGP
Only with QCD can we explore
Quantum Gauge Phluid
experimentally these
26-Oct-07 W.A. Zajc
The (Assumed) Connection
Exploit Maldacena’s “D-dimensional strongly coupled gauge theory stringy gravity”
Thermalize with massive black brane (D+1)-dimensional h
mn
Calculate viscosity
h
= “Area”/16
G Normalize by entropy (density) s = “Area” / 4G Dividing out the infinite “areas” : A
n
Infinite “Area” !
h
s
(
k
) 1 4
A
m
Conjectured to be a lower bound “ for all relativistic quantum field theories at finite temperature and zero chemical potential ”. See “ Viscosity in strongly interacting quantum field theories from black hole physics ”, P. Kovtun, D.T. Son, A.O. Starinets, Phys.Rev.Lett.94:111601, 2005, hep-th/0405231
26-Oct-07 W.A. Zajc
New Dimensions in RHIC Physics
“The stress tensor of a quark moving through
N
=4 thermal plasma”, J.J. Friess et al ., hep-th/0607022 Our 4-d world The stuff formerly known as QGP Jet modifications from wake field String theorist’s 5+5-d world Heavy quark Energy loss from string drag moving through the medium
26-Oct-07 W.A. Zajc
Measuring
h
/s
Damping (flow, fluctuations, heavy quark motion) ~
h
/s
FLOW: Has the QCD Critical Point Been Signaled by Observations at RHIC?, R. Lacey et al ., Phys.Rev.Lett.98:092301,2007 ( nucl-ex/0609025 ) The Centrality dependence of Elliptic flow, the Hydrodynamic Limit, and the Viscosity of Hot QCD , H.-J. Drescher et al ., ( arXiv:0704.3553
)
h
s
( 1 .
1 0 .
2 1 .
2 ) 1 4 h
s
( 1 .
9 2 .
5 ) 1 4
C H A R M
FLUCTUATIONS: Measuring Shear Viscosity Using Transverse Momentum Correlations in Relativistic Nuclear Collisions , S. Gavin and M. Abdel-Aziz, Phys.Rev.Lett.97:162302,2006 ( nucl-th/0606061 ) DRAG, FLOW: Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at √s NN = 200 GeV A. Adare et al ., (PHENIX Collaboration), to appear in Phys. Rev. Lett. ( nucl-ex/0611018 )
h s ( 1 .
0 3 .
8 ) 1 4 h s ( 1 .
3 2 .
0 ) 1 4 W.A. Zajc
Has the QCD Critical Point Been Signaled by Observations at RHIC?, R. Lacey et al ., Phys.Rev.Lett.98:092301,2007 ( nucl-ex/0609025 )
Signature: FLOW Calculation:
h On-shell transport model
s
~
T
f
for gluons
,
Z. Xu and
T
165
c s
3 Fit v 2 ~I 1 (w)/I 0 (w); w = m T /2T MeV C. Greiner, hep-ph/0406278.
c s
f
0 .
35 0 .
3 0 .
05 0 .
03 fm
Payoff Plot:
h 1
s
( 1 .
1 0 .
2 1 .
2 ) 4 PHENIX v 2 / e data (nucl-ex/0608033) compared to R.S. Bhalerao et al. (nucl-th/0508009) 26-Oct-07 W.A. Zajc
Measuring Shear Viscosity Using Transverse Momentum Correlations in Relativistic Nuclear Collisions , S. Gavin and M. Abdel-Aziz, Phys.Rev.Lett.97:162302,2006 ( nucl-th/0606061 )
Signature: FLUCTUATIONS Calculation:
t
h
sT
2
g
Difference in correlation widths for central and peripheral 2 0 2 4 h
sT
1
f
collisions
f c
, 2
P
~ 1
p
2 fm 4 h
sT
, 0
f
1
f
,
C
P f
~ 0 20 1 0
f
C
fm Diffusion eq. for fluctuations
g
Compare to STAR data on centrality dependence of rapidity width of p T fluctuations
Payoff Plot:
h
s
( 1 3 .
8 ) 1 4 26-Oct-07 W.A. Zajc
The Centrality dependence of Elliptic flow, the Hydrodynamic Limit, and the Viscosity of Hot QCD , H.-J. Drescher et al ., ( arXiv:0704.3553
)
Signature: FLOW
Calculation:
1
K
R
R
1
A
1
dN dy
(
c S
)
A dN dy c S
Knudsen number K
Payoff Plot:
v
e 2
v
e 2
perfect
1
K
1 /
K
0
K
0 h
s
0 .
7 ,
c S
( 1 .
9 2 .
5 ) 1/ 1 4 3 , h 1 .
264
T
/ Decrease in flow due to finite size ,
s
4
n
Fits to PHOBOS v2 data to determine Glauber and for CGC initial conditions 26-Oct-07 W.A. Zajc
Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at √s Collaboration), A. Adare NN = 200 GeV (PHENIX et al ., Phys. Rev. Lett. 98:172301,2007 ( nucl-ex/0611018 )
Signature: FLOW, ENERGY LOSS Calculation:
D HQ
~ ( 4 6 ) 2
T
Rapp and van Hees Phys.Rev.C71:034
D HQ
/ h /( e
P
) ~ 6 907,2005, to fit
both
PHENIX v 2 (e) and R AA (e) h
s
( 1 .
3 2 .
0 ) 1 4 for
N f
3 Moore and Teaney Phys.Rev.C71:064 904,2005 (perturbative, argue ~valid non-perturbatively)
Payoff Plot:
26-Oct-07 W.A. Zajc
(Some) Things I’d Like To Know
Are there better ways to extract
h
/s ?
Can these existing estimates be improved ?
(In particular, can systematic errors be understood?)
All of these methods rely on
e
+P = Ts .
How does this change in the presence of a conserved charge ?
In ordinary fluids,
h
/s has a pronounced minimum near the critical point.
Can AdS/CFT say anything about this for gauge fluids?
26-Oct-07 W.A. Zajc
(More) Things I’d Like To Know
Are AdS/CFT predictions falsifiable ?
What if Song and Heinz
h
/s < 1/4
is correct?
Suppression of elliptic flow in a minimally viscous quark-gluon plasma, H. Song and U. Heinz, arXiv:0709.0742v1
.
What if Mach cone angles different from data ?
What if 1/√
g
not seen in J/
Y
suppression ?
What data can best constrain initial conditions?
(Will we ever be able to eliminate this source of ambiguity between Glauber, CGC, … ?)
Are there AdS/CFT setups to do elliptic flow dynamically?
Can they say anything about the observed scaling ?
26-Oct-07 W.A. Zajc
Perfect
The “fine structure” v hydrodynamics 2 (p T ) for different mass particles shows good agreement with ideal (“perfect fluid”)
KE T
m
2
p T
2 26-Oct-07
Roughly: ∂
n
T
mn
=0
Work-energy theorem
P d(vol) =
D
E K
m T – m 0
D
KE T
W.A. Zajc
The “Flow” Knows Quarks
The “fine structure” v hydrodynamics 2 (p T ) for different mass particles shows good agreement with ideal (“perfect fluid”) baryons mesons
Scaling flow parameters by quark content n q resolves meson-baryon separation of final state hadrons
26-Oct-07 W.A. Zajc
(More) Things I’d Like To Know
What does flow scaling tell us about degrees of freedom?
Hadronic Modes and Quark Properties in the Quark-Gluon Plasma, M. Mannarelli and R. Rapp, arXiv:hep-ph/0505080v2 : m ~ 150 MeV ,
G
~ 200 MeV .
Is any form of quasiparticle consistent with KSS bound?
All(?) AdS/CFT calculations find drag ~ √
= √g 2 N C . What is this telling us about the degrees of freedom ?
Is there a unique prescription for fixing coupling ?
Is there well-controlled expansion away from ‘t Hooft limit?
Calibrate it with lattice ‘data’ ?
ASIDE: Those who most often pronounce “AdS/CFT is useless because the coupling doesn’t run” are those most likely to do calculations with
a
s = 0.5 .
26-Oct-07 W.A. Zajc
(Big ) Things I’d Like To Know
Can one start from confining, chiral Sakai-Sugimoto and push it through a phase transition ?
Hod tells us
> 1 /
T.
Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing , S. Hod, arXiv:gr-qc/0611004v1
Can AdS/CFT address this ?
What does it mean to have a gravity dual ?
In particular, how do I find it ?
What is the impact of the KSS conjecture on other fields ?
26-Oct-07 W.A. Zajc
What Follows is the Un-Meta-Talk…
26-Oct-07 W.A. Zajc
Working Title: The Fluid Nature of QGP
From the Oxford English Dictionary: 1) Primary definition: (adj.) " fluid : Having the property of flowing; consisting of particles that move freely among themselves, so as to give way before the slightest pressure. (A general term including both gaseous and liquid substances.) ” 2) Secondary definition: (adj.) " Flowing or moving readily; not solid or rigid; not fixed, firm, or stable.
” SUMMARY: Following a) a discovery period , during which time our understanding of “quark-gluon plasma” was fluid( 2 ), and b) a paradigm shift, we are now developing a solid understanding of the extraordinary fluid( 1 ) produced at RHIC.
26-Oct-07 W.A. Zajc
Expectations circa 2000
RHIC would create a quark-gluon plasma; a “gas” of weakly interacting quarks and gluons
26-Oct-07
As encoded in the Nuclear Physics Wall Chart, http://www.lbl.gov/abc/wallchart/
W.A. Zajc
The Plan circa 2000 Use RHIC’s unprecedented capabilities
Large √s
Access to reliable pQCD probes
Clear separation of valence baryon number and glue
To provide definitive experimental evidence for/against Quark Gluon Plasma (QGP)
Polarized p+p collisions
See earlier talk by M. Grosse Perdekamp
Two small detectors, two large detectors
Complementary capabilities
Small detectors envisioned to have 3-5 year lifetime
26-Oct-07
Large detectors ~ facilities
Major capital investments
Longer lifetimes
Potential for upgrades in response to discoveries
W.A. Zajc
26-Oct-07
RHIC and Its Experiments
STAR
W.A. Zajc
Since Then…
Accelerator complex
Routine operation at 2-4 x design luminosity (Au+Au) Extraordinary variety of operational modes
Species: Au+Au, d+Au, Cu+Cu, p
+p
Energies: 22 GeV (Au+Au, Cu+Cu, p
), 56 GeV (Au+Au), 62 GeV (Au+Au,Cu+Cu, p
+p
) , 130 GeV (Au+Au), 200 GeV (Au+Au, Cu+Cu, d+Au, p
+p
), 410 GeV (p
), 500 GeV (p
) Experiments:
Worked !
Science
>160 refereed publications, among them > 90 PRL’s Major discoveries Future
Demonstrated ability to upgrade
Key science questions identified Accelerator and experimental upgrade program underway to perform that science
26-Oct-07 W.A. Zajc
Approach
Will present sample of results from various points of the collision process: 2. Initial State Hydrodynamic flow from initial spatial asymmetries 3. Probes of dense matter 1. Final State Yields of produced particles Thermalization, Hadrochemistry
W.A. Zajc 26-Oct-07
26-Oct-07
Assertion
( In these complicated events, we have a posteriori ) control over the event geometry:
Degree of overlap “Central”
Orientation with respect to overlap “Peripheral”
W.A. Zajc
Language
We all have in common basic nuclear properties
A, Z …
But specific to heavy ion physics
v 2 R AA T
m
B
h
Fourier coefficient of azimuthal anisotropies
“flow” 1 if yield = perturbative value from initial parton-parton flux Temperature ( MeV ) Baryon chemical potential ( MeV ) ~
net
Viscosity ( MeV 3 ) baryon density
s Entropy density ( MeV 3 ) ~ “particle” density
26-Oct-07 W.A. Zajc
26-Oct-07
Final State
Does the huge abundance of final state particles reflect a thermal distribution?: 1. Final State Yields of produced particles Thermalization, Hadrochemistry Consistent with
thermal production
T ~ 170 MeV ,
m
B ~ 30 MeV
W.A. Zajc
RHIC’s Two Major Discoveries
Discovery of strong “elliptic” flow:
Elliptic flow in Au + Au collisions at √s NN = 130 GeV, STAR Collaboration, ( K.H. Ackermann et al.
). Phys.Rev.Lett.86:402-407,2001 318 citations
Discovery of “jet quenching”
Suppression of hadrons with large transverse momentum in central Au+Au collisions at √s NN = 130 GeV, PHENIX Collaboration ( K. Adcox et al.
), Phys.Rev.Lett.88:022301,2002 384 citations
26-Oct-07 W.A. Zajc
Initial State
How are the initial state densities and asymmetries imprinted on the detected distributions?
3. Initial State Hydrodynamic flow from initial spatial asymmetries
26-Oct-07 W.A. Zajc
Motion Is Hydrodynamic
When does thermalization occur?
Strong evidence that final state reflects the initial state bulk behavior geometry Because the initial persists in the final state dn/d
f
~ 1 + 2 v 2 (p T ) azimuthal asymmetry cos (2
f
) + ...
y x z 2v 2
W.A. Zajc 26-Oct-07
Perfect
The “fine structure” v hydrodynamics 2 (p T ) for different mass particles shows good agreement with ideal (“perfect fluid”)
KE T
m
2
p T
2 26-Oct-07
Roughly: ∂
n
T
mn
=0
Work-energy theorem
P d(vol) =
D
E K
m T – m 0
D
KE T
W.A. Zajc
The “Flow” Knows Quarks
The “fine structure” v hydrodynamics 2 (p T ) for different mass particles shows good agreement with ideal (“perfect fluid”) baryons mesons
Scaling flow parameters by quark content n q resolves meson-baryon separation of final state hadrons
26-Oct-07 W.A. Zajc
Probes of Dense Matter
Q. How dense is the matter?
A. Do pQCD Rutherford scattering on deep interior using “auto-generated” probes:
26-Oct-07
2. Probes of dense matter
W.A. Zajc
Baseline p+p Measurements with pQCD
Consider measurement of
0 ’s in p+p collisions at RHIC.
Compare to pQCD calculation
d
f a
/
A
(
x a
, m 2 )
f b
/
B
(
x b
, m 2 ) •
parton distribution functions, for partons a and b
•
measured in DIS, universality
d
(
a
b
c
d
)
•perturbative cross-section (NLO) •requires hard scale •factorization between pdf and cross section
D h
/
c
(
z h
, m 2 ) •
fragmentation function
•
measured in e+e-
Phys. Rev. Lett. 91, 241803 (2003)
26-Oct-07 W.A. Zajc
Au+Au: Systematic Suppression Pattern
26-Oct-07
constancy for pT > 4 GeV/c for all centralities?
W.A. Zajc
The Matter is Opaque
STAR azimuthal correlation function shows ~ complete absence of “away-side” jet GONE
DF
=
DF
Partner in hard scatter is completely absorbed in the dense medium
DF
=0
DF
=
0 26-Oct-07 W.A. Zajc
Schematically (Partons)
Scattered partons on the “near side” but emerge; lose energy , those on the “far side” are totally absorbed
26-Oct-07 W.A. Zajc
Control: Photons shine, Pions don’t
Direct photons are
26-Oct-07
Rather: shine not inhibited by hot/dense medium through consistent with pQCD
W.A. Zajc
Schematically (Photons)
Scattered partons on the “near side” but emerge; lose energy ,
26-Oct-07
the direct photon always emerges
W.A. Zajc
Precision Probes
This one figure encodes rigorous control of systematics
central
N coll
= 975 94
= =
in four different measurements over many orders of magnitude
26-Oct-07 W.A. Zajc
Connecting Soft and Hard Regimes
Scattered partons on the “near side” but emerge; lose energy , those on the “far side” are totally absorbed
Really ?
26-Oct-07 W.A. Zajc
Fluid Effects on Jets ?
Mach cone?
☑
Jets travel faster than the speed of sound in the medium.
☑
While depositing energy via gluon radiation.
QCD “sonic boom” (?)
To be expected in a dense fluid which is strongly-coupled
26-Oct-07 W.A. Zajc
High p
T
Parton
The “ disappearance ” is that of the high p T partner
Low p
T
“Mach Cone”?
But at low p T , see re-appearance
and
“Side-lobes” (Mach cones?)
26-Oct-07 W.A. Zajc
Suggestion of Mach Cone?
Modifications to di-jet hadron pair correlations in Au+Au collisions at √s PHENIX Collaboration ( S.S. Adler et al.
), Phys.Rev.Lett.97:052301,2006 NN = 200 GeV,
DF
A “perfect” fluid response!
W.A. Zajc 26-Oct-07
How Perfect is “Perfect” ?
All “realistic” hydrodynamic calculations for RHIC fluids to date have assumed zero viscosity
h
= 0
“perfect fluid” But there is a (conjectured) quantum limit: “ A Viscosity Bound Conjecture ”, P. Kovtun , D.T. Son , A.O. Starinets , hep-th/0405231
h 4 (
Entropy Density
) 4
s
26-Oct-07
Where do “ordinary” fluids sit wrt this limit?
RHIC “fluid” be at ~1 on this scale (!) might T=10 12 K
W.A. Zajc
Viscosity Primer
Remove your organic prejudices
Don’t equate viscous with “sticky” !
Think instead of a not-quite-ideal fluid:
“not-quite-ideal”
Viscosity
h
then defined as “supports a shear stress”
F A x
h
v
y x
Dimensional estimate:
η (
momentum n p mfp
n density
) (
mean p
1
n
σ
p
σ
free path
)
small viscosity
Large
cross sections
Large
Strong
cross sections
couplings
strong
couplings perturbation theory difficult !
26-Oct-07 W.A. Zajc
The Primacy of QCD
While the (conjectured) bound
h
s
4
is a purely quantum mechanical result . . .
It was derived in and motivated by the Anti-de Sitter space / Conformal Field Theory correspondence Weak form:
“Four-dimensional
N
=4 supersymmetric SU(N c ) gauge theory is equivalent to IIB string theory with AdS 5 x S 5 boundary conditions.” ( The Large N limit of superconformal field theories and supergravity , J. Maldacena, Adv. Theor. Math. Phys. 2, 231, 1998 hep-th/9711200 )
Strong form:
“Hidden within ( every non-Abelian gauge theory, even within the weak and strong nuclear interactions, is a theory of quantum gravity.” Gauge/gravity duality , G.T. Horowitz and J. Polchinski, gr-qc/0602037 )
Strongest form: fascinating connections over the full range of the coupling constant to study QGP
Only with QCD can we explore
Quantum Gauge Phluid
experimentally these
26-Oct-07 W.A. Zajc
The (Assumed) Connection
Exploit Maldacena’s “D-dimensional strongly coupled gauge theory stringy gravity”
Thermalize with massive black brane (D+1)-dimensional h
mn
Calculate viscosity
h
= “Area”/16
G A
m
Normalize by entropy (density) s = “Area” / 4G A
n
Infinite “Area” !
Dividing out the infinite “areas” : See next talk: QGP- Theoretical Overview, U. Wiedemann
h
s
(
k
) 1 4
Conjectured to be a lower bound “ for all relativistic quantum field theories at finite temperature and zero chemical potential ”. See “ Viscosity in strongly interacting quantum field theories from black hole physics ”, P. Kovtun, D.T. Son, A.O. Starinets, Phys.Rev.Lett.94:111601, 2005, hep-th/0405231
26-Oct-07 W.A. Zajc
New Dimensions in RHIC Physics
“The stress tensor of a quark moving through
N
=4 thermal plasma”, J.J. Friess et al ., hep-th/0607022 Our 4-d world The stuff formerly known as QGP Jet modifications from wake field String theorist’s 5+5-d world Heavy quark Energy loss from string drag moving through the medium
26-Oct-07 W.A. Zajc
Measuring
h
/s
Damping (flow, fluctuations, heavy quark motion) ~
h
/s
FLOW: Has the QCD Critical Point Been Signaled by Observations at RHIC?, R. Lacey et al ., Phys.Rev.Lett.98:092301,2007 ( nucl-ex/0609025 ) The Centrality dependence of Elliptic flow, the Hydrodynamic Limit, and the Viscosity of Hot QCD , H.-J. Drescher et al ., ( arXiv:0704.3553
)
h
s
( 1 .
1 0 .
2 1 .
2 ) 1 4 h
s
( 1 .
9 2 .
5 ) 1 4
C H A R M
FLUCTUATIONS: Measuring Shear Viscosity Using Transverse Momentum Correlations in Relativistic Nuclear Collisions , S. Gavin and M. Abdel-Aziz, Phys.Rev.Lett.97:162302,2006 ( nucl-th/0606061 ) DRAG, FLOW: Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at √s NN = 200 GeV A. Adare et al ., (PHENIX Collaboration), to appear in Phys. Rev. Lett. ( nucl-ex/0611018 )
h s ( 1 .
0 3 .
8 ) 1 4 h s ( 1 .
3 2 .
0 ) 1 4 W.A. Zajc
Has the QCD Critical Point Been Signaled by Observations at RHIC?, R. Lacey et al ., Phys.Rev.Lett.98:092301,2007 ( nucl-ex/0609025 )
Signature: FLOW Calculation:
h On-shell transport model
s
~
T
f
for gluons
,
Z. Xu and
T
165
c s
3 Fit v 2 ~I 1 (w)/I 0 (w); w = m T /2T MeV C. Greiner, hep-ph/0406278.
c s
f
0 .
35 0 .
3 0 .
05 0 .
03 fm
Payoff Plot:
h 1
s
( 1 .
1 0 .
2 1 .
2 ) 4 PHENIX v 2 / e data (nucl-ex/0608033) compared to R.S. Bhalerao et al. (nucl-th/0508009) 26-Oct-07 W.A. Zajc
Measuring Shear Viscosity Using Transverse Momentum Correlations in Relativistic Nuclear Collisions , S. Gavin and M. Abdel-Aziz, Phys.Rev.Lett.97:162302,2006 ( nucl-th/0606061 )
Signature: FLUCTUATIONS Calculation:
t
h
sT
2
g
Difference in correlation widths for central and peripheral 2 0 2 4 h
sT
1
f
collisions
f c
, 2
P
~ 1
p
2 fm 4 h
sT
, 0
f
1
f
,
C
P f
~ 0 20 1 0
f
C
fm Diffusion eq. for fluctuations
g
Compare to STAR data on centrality dependence of rapidity width of p T fluctuations
Payoff Plot:
h
s
( 1 3 .
8 ) 1 4 26-Oct-07 W.A. Zajc
The Centrality dependence of Elliptic flow, the Hydrodynamic Limit, and the Viscosity of Hot QCD , H.-J. Drescher et al ., ( arXiv:0704.3553
)
Signature: FLOW
Calculation:
1
K
R
R
1
A
1
dN dy
(
c S
)
A dN dy c S
Knudsen number K
Payoff Plot:
v
e 2
v
e 2
perfect
1
K
1 /
K
0
K
0 h
s
0 .
7 ,
c S
( 1 .
9 2 .
5 ) 1/ 1 4 3 , h 1 .
264
T
/ Decrease in flow due to finite size ,
s
4
n
Fits to PHOBOS v2 data to determine Glauber and for CGC initial conditions 26-Oct-07 W.A. Zajc
Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at √s Collaboration), A. Adare NN = 200 GeV (PHENIX et al ., Phys. Rev. Lett. 98:172301,2007 ( nucl-ex/0611018 )
Signature: FLOW, ENERGY LOSS Calculation:
D HQ
~ ( 4 6 ) 2
T
Rapp and van Hees Phys.Rev.C71:034
D HQ
/ h /( e
P
) ~ 6 907,2005, to fit
both
PHENIX v 2 (e) and R AA (e) h
s
( 1 .
3 2 .
0 ) 1 4 for
N f
3 Moore and Teaney Phys.Rev.C71:064 904,2005 (perturbative, argue ~valid non-perturbatively)
Payoff Plot:
26-Oct-07 W.A. Zajc
RHIC and the Phase “Transition”
The lattice tells us that collisions at RHIC map out the interesting region from
High T
init
~ 300 MeV
to ?
Low T
final
~ 100 MeV
Recall per massless degree of
e
T
freedom
(
T
4 ) 30 2 26-Oct-07 W.A. Zajc
LHC
How could we not choose to investigate “QGP” at every opportunity?
LHC offers unparalleled increase in √s Will this too create a strongly-coupled fluid?
Active pursuit via
Dedicated experiment (ALICE) Targeted studies (CMS, ATLAS)
W.A. Zajc 26-Oct-07
26-Oct-07
World Context
: 2009
: 2000
RHIC II
: 2012
W.A. Zajc
Physics for Many INPC’s To Come!
RHIC
RHIC II LHC Exploration
~ Completed
Discovery!
Preparation GSI-FAIR
Preparation
26-Oct-07
Characterization
Photon+Jet
Heavy Flavor Energy Scans Exploitation (of upgrade potential)
Source Detectors Luminosity
(Anticipation) Exploration
~ Completed Discovery!
Characterization
Photon+Jet Heavy Flavor Energy Scans Exploitation
(Anticipation) Exploration
~ Completed Discovery!
Characterization
Photon+Jet Heavy Flavor
W.A. Zajc
Energy Scans