h-qm opening symposiummuller/talks/gsi_061009.pdflhc will provide quantitative tests of the models...
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Berndt Müller
H-QM Opening SymposiumGSI, November 9, 2006
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Genre:Comedy / Crime /
Romance / Thriller
Eating Takoyaki(squid balls) fresh
from the grill in Osaka/Japan
Nucleons + mesons
Quark-gluon
plasma
Nucleons + mesons
Melting nuclear matter (at RHIC / LHC / FAIR)
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What heat does to matter:Increases disorder (entropy)Speeds up reactionsOvercomes potential barriers
States / phases of matter:Solid [long-range correlations, shear elasticity]Liquid [short-range correlations]
Gas [few correlations]Plasma [charged constituents] (solid / liquid / gaseous)
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Matter governed by the laws of QCD can also take on different states:
Solid, e.g. crust of neutron starsLiquid, e.g. all large nucleiGas, e.g. nucleonic or hadronic gas (T 7 MeV)Plasma - the QGP (T > Tc 150 – 200 MeV)
The QGP itself may exist in different phases:Gaseous plasma (T Tc)Liquid plasma (T, near Tc, c ?)Solid, color superconducting plasma ( c)
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5B
Hadronicmatter
Critical end point
Plasma
Nuclei
Chiral symmetrybroken
Chiral symmetryrestored
Color superconductor
Neutron stars
T
1st order line
Quark-Gluon
RHIC
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RHIC
2
30 LHC ?
170 340 510 MeV
27f4(2 8)Degrees of fr (2 3 ) 1 ( )eedom : N O g
quarksgluons
colorcolorspin spin flavor
Indication of weak coupling?
Lattice QCD (Bielefeld)
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a
2 ( ) ( )a a b a bG Qg g
2a aInduced color density
2 2 2 2( ) ,wit (6
h )FG Q
NgT gT
Static color charge (heavy quark) generates screened potential
a a rst er
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B
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Color correlation length
Time
Length (z)
Quasi-abelian
Non-abelian
Noise
M. Strickland, hep-ph/0511212
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Higgs
field
quark
Quark
condensate
quarkqq
QCD mass disappears above Tc:(partial) chiral symmetry restoration
1
10
100
1000
10000
100000
1000000
u d s c b t
QCD massHiggs mass
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R. Gavai & S. Gupta, hep-lat/0510044
2
ln ( , )XY iX Y
i i ii
Z T XY X Y
XS x s n22
3XS
XS X SC
S S
pQGP
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quarks gain QCD mass and become confined
Arrow of time
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STAR
…is hexagonal and 3.8 km long
Relativistic Heavy Ion Collider
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Phenomenology provides t he connect ion
Detectors Computers
BG-J
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final2
( )/( )
( )/
( / )
dN dys
dV dy
dN dy
R
30
eq
( 1 fm/c) 33/fm
or ( ) 275 MeV
in Au+Au (200 GeV)
s
T
Bjorken formula
eqPre-equil. phase
Liberation of saturated low-x
glue fields (CGC)
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Some important results from RHIC:
Chemical equilibration (incl. s-quarks!) u, d, s-quarks become light and unconfined
Elliptic flow rapid thermalization, low viscosity
Collective flow pattern related to valence quarks
Jet quenching parton energy loss, high color opacity
Strong energy loss of c and b quarks (why?)
Charmonium suppression is not increased compared with lower (CERN-SPS) energies
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1 1 2
2 ch
( )exp
Y m m
Y T
Increase in flavor correlation length rc 1 fm ( ?) + gluon thermalization
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Suppression of hadrons
No suppression for photons
Cross section in p+p coll’s
Area density of p+p coll’s
in A+A
Yield in A+A
2
2
/( )
/AA T
AA T
AA NN T
d N dp dyR p
T d dp dy
Without nuclear effects:
RAA = 1.
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Radiative energy loss:
2 2TE L k
Scattering centers = color chargesq q
g
L
2T
2 22
ˆ ( ) (0)ii
dq dxq d xk
dqFq F
Density of scattering centers
Range of color forceScattering power of the QCD medium:
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Pion gas
QGP
Cold nuclear matter
sQGP? ??
RHIC data
“Baier plot”
RHIC
Eskola et al.
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Where does the “lost” energy go?
p+p Au+Au
Lost energy of away-side jet is redistributed to angles away from 180° and low transverse momenta pT < 2 GeV/c ( Mach cone?).
Trigger jetAway-side jet
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(Colorless or colorful) sonic shockwave:H. Stöcker, Nucl. Phys. A 750:121-147 (2005),J. Casalderrey-Solana & E. Shuryak, hep-ph/0411315,J. Ruppert & B.M., Phys. Lett. B 618:123-130 (2005),T. Renk & J. Ruppert, hep-ph/0509036
Localized heating of medium:A.Chaudhouri, U. Heinz, nucl-th/0503028
(does not work!)
Large Angle Gluon Emission:Ivan Vitev, Phys.Lett.B630:78-84,2005Cherenkov ( -like) radiation:A. Majumder & X. N. Wang, nucl-th/0507062,V. Koch et. al., nuclt-th/0507063,I. Dremin, hep-ph/0507167
Trigger jet
Trigger jet
Trigger jet
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Mach cone requires collective mode with (k) < k and strong coupling fs 0.8.
T. Renk & J. Ruppert
N=4 SUSY YM at strong coupling
J. Friess et al.
hep-th/0607022
J. Ruppert
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Collision Geometry: Elliptic Flow
Elliptic flow (v2) :• Gradients of almond-shape surface will lead to preferential expansion in the reaction plane• Anisotropy of emission is quantified by 2nd
Fourier coefficient of angular distribution: v2
prediction of fluid dynamics
Reaction plane
x
z
y
Bulk evolution described by relativistic fluid dynamics,assumes that the medium is in local thermal equilibrium,but no details of how equilibrium was reached.I nput: (x, i) , P( ) , ( ,etc.) .
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spatial eccentricity
momentumanisotropyinitial energy density distribution:
Elliptic flow: early creation
Time evolution of the energy density:
Flow anisotropy must generated at the earliest stages of the expansion, and matter needs to thermalize very rapidly, before 1 fm/c.
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2 pT
Mass splitting characteristic property of hydrodynamics
Failure of ideal hydrodynamics tells us how hadrons form
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2
In the recombination regime, meson and baryon v2 can be obtained from the quark v2 :
2 2 2 2v22
v3
v3v Btt
q tM q tp ppp
q q q
q qT, ,v
Emitting medium is composed of unconfined, flowing quarks.
Paul Sorensen
Chiho Nonaka
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QGP
D. Teaney
0/ /s s
Exciting theoretical discovery:
N=4 SUSY YM theory (g2Nc 1) and string – CFT duality give
/s = 1/(4 (Kovtun, Son, Starinets).
Absolute lower bound on /s !?
Boost invariant hydrodynamics with T0 0 ~ 1 requires /s 1/10.
QGP(T˜ Tc) = sQGP ?
( )
0 with
( trace)P u
T
uT uu Pg
Relativistic viscous hydrodynamics:
13
tr3f
pnp
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Is strong coupling really necessary for small /s ?
Possible resolution:Color instabilities
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Unstable modes in plasmas occur generally when the momentum distribution of a plasma is anisotropic (Weibel-type instabilities).
22 22 1forx y s z
s
p p Q pQpz
py
px
beam
Conditions are satisfied in nuclear collisions:
Longitudinal expansion locally “red-shifts” the longitudinal momentum components of released small-x gluon fields (CGC) from initial state:
In EM case, instabilities saturate due to effect on charged particles. In YM case, field nonlinearities lead to saturation (competition with Nielsen-Oleseninstability?)
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Exponential growth saturates when
B2 > g2 T4.
Mrowczynski
Strickland et al.
Arnold et al.
Wavelength and growth rate of unstable modes can be calculated perturbatively:
kz ~ gQs , ~ gQs < kz
Turbulent power spectrum
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Expansion Anisotropy
0 0
0
132
1
3
1
2
Perturbed equilibrium distribution:
For shear flow of ultrarelat. flu
( ) ( ) 1 1 ( )
( ) exp[ / ]
5 /( )
2
( )
( )
(
id:
)
i jij ij
ij i j j i ij
f p f p f p
f p u p T
sp p u
ETu u
f
u
p
u
f p
Anisotropic momentum distributions generate instabilities of soft field modes. Growth rate ~ f1(p).
Formation of turbulent color fields is controlled by f1(p), i.e. ij(u) and /s.
But: turbulent color fields control the anomalous viscosity A.
QGP
X-space
QGP
P-space
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p
paB
mr
13
2 2( )
2 2 2 2
Classical expression for shear viscosity:
Momentum change in one coherent domain:
Anomalous (collisionless) mean free path:
Anomalous viscosity due to random col
f
a am
Af m
m
np
p gQ B r
p pr
g Q B rp
33 94
2 2 2 2 2 2
or ie s
3
f ld :
A
m m
sTnp
g Q B r g Q B r
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Take moments of with pz2( , , )( )r p p
p
D pp
f r p t C ft E
22
1
3
2
3
4 ln 11
1 11
10
mc
A Cc
FNO
N
g
sT
gO
T
M. Asakawa, S.A. Bass, B.M.,
PRL 96:252301,2006
hep-ph/0608270
' ( '), ' ( , ) ,
= color force
( )
v
ta b
i ab j
a a a
ij dt F r t t U r rD F r t
F
p
g E B
2
= jet
' ( ') ( )
quenching parameter !!
ˆ
!
ii mdt F t qF t F
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Possible effects on QGP probes:
Longitudinal broadening of jet cones (observed – “ridge”)
Anomalous diffusion of charm and bottom quarks (observed)
Synchrotron-style radiation of soft, nonthermal photons ?
Field induced quarkoniumdissociation ?
No unstable modes for quarks: quasi-particle picture of QGP is compatible with low viscosity
z
yx
B
JetJet
Au+Au 20-30%
a
b
c c
b
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LHC
ATLAS
CMS
ALICE
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Heavy ion physics at the LHC is only ~2 years away
LHC will provide quantitative tests of the models developed to describe the RHIC data:
Saturation of the initial gluon density(Almost) ideal hydrodynamic evolution of matter (v2)Scaling of parton energy loss with path lengthColor screening, quark recombination
Major new probes: contained jets and b-quarks, permitting much improved control of theoretical predictions.
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Bulk physics probes 10-4 < x < 10-3
100 GeV jets similar to 2 GeV hadrons at RHIC
Forward/backward regions provide access to very small x 10-5
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~ 1/Q2
2 1 / 3
2 2 2
(parton density
, )= r 1
a ea sA
A
xG x Q A x
R Q Q
2sat ( , )Q x A
Glassy gluons are liberated – quark pairs are produced rapidly.
“Glasma” turns into a quark-gluon plasma..
Nonlinear interactions among classical fields lead to the saturation of gluon density in the transverse plane.
“Color Glass Condensate”
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ECM
3
2
Geometric scaling à la Golec-Biernat & Wüsthoff
1/
2 2 0sat 0 2
with 0.288, 0.79
( , )A
x AQ x A Q
x R
(Armesto et al. hep-ph/0407018)
From fit to HERA e-p and NMC nuclear photoabsorption data.
2 2sat,/ A AdN dy Q R
LHC RHICin in3 500 MeVT T
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Photon- or Z0-tagged jets [g+q q+ (Z)]:Study of jets with known energy.
Fully resolved jets (ET > 100 GeV): Measurement of full medium-modified fragmentation function.
Tri-jets: Study of gluon propagation.
Jets initiated by c- and b-quarks., ’, ’’ spectroscopy:
Improved test of color screening.
Nuclear parton distributions down to x ~ 10-5 -10-6
(in p+A collisions): probe of gluon saturation.
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Do we have a coherent theoretical framework ?
High-pT hadrons: YES, but…High-pT di-hadrons: MAYBE
-jet correlations: YES, but…Single jets: YES, but…Tri-jets: NOHeavy quarkonia: NOHigh invariant mass lepton pairs: YES, but…High pT photons: MAYBE
There are many research challenges for theorists !
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AA
Vitev et al (GLV)
LHC
Armesto et al (ASW)
Extrapolations to LHC energy vary widely due to modeling differences:
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Detector
Deeper penetration of higher-pT probe leades to
increased “punch-through”of away side jet.
T. Renk
Vertex distribution for trigger hadrons of pT – 25 GeV/c in Pb+Pb @ LHC
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Jet energy is not lost, but just redistributed inside the jet cone to larger kt than in vacuum fragmentation (LPM effect).
Separation of fully evolved jet from background will become possible at LHC for large jet energies.
kT
Medium modifications of jet shape can tell us about the mechanism of energy loss of the initiating parton.
Are jets induced by b-quarks modified differently than those induced by light quarks/gluons?
400 GeV2
TdE
dy
Distributed over ~300 particles.
Soft background:
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Outlook
The RHIC program has shown that
• equilibrated matter is rapidly formed in heavy ion collisions;
• wide variety of probes available at collider energies;
• systematic study of matter properties is possible.
QGP appears to be a turbulent color liquid with novel and unanticipated transport properties.
Experimental surprises have become a gold mine for theorists:
• extreme opaqueness of matter to colored probes;
• large enhancement of baryon production;
• collective flow phenomena indicating strong coupling;
• connection to string theory and AdS/CFT duality.
Exciting times for HI physics at the LHC lie ahead !
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THE ENDOF THIS TALK - BUT
THE BEGINNINGFOR H-QM