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QCD thermodynamics on the lattice P é ter Petreczky Physics Department and RIKEN-BNL . Transition temperature EoS and quark number susceptibilities Comparison with resonance gas model Screening of static quarks at high temperature

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slide1

QCD thermodynamics on the lattice

Péter Petreczky

Physics Department and RIKEN-BNL

  • Transition temperature
  • EoS and quark number susceptibilities
  • Comparison with resonance gas model
  • Screening of static quarks at high temperature
  • Lattice calculation of quarkonium correlators and spectral functions
  • Conclusions and Outlook

Stong and Electroweak Matter 2006 , May 10-13, 2006

slide2

QCD Phase diagram at T>0

At which temperature does the transition occur ? What is the nature of transition ?

transition is crossover !

slide3

Lattice QCD at T>0

Improved staggered action: p4fat3, asqtad, stout

R-algorithm in the past, now RHMC :

Costs at T=0:

see poster by M. Cheng at SEWM 06

Costs at T>0:

slide4

Calculations of the transition temperature with p4fat3 action

fat3 link improvement

of flavor symmetry

next-to-nearest neighbors

(p4) rotational symmetry

to

RBC-Bielefeld collaboration : Karsch, Jung, P.P, Schmidt, Umeda (BNL)

Cheng, Christ, Mawhiney (Columbia), Ejiri (Tokyo), Petrov (NBI)

Doering, Van der Heide, Kaczmarek, Laermann, Miao (Bielefeld)

slide5

chiral condensate and Polyakov

susceptibility

multi-histogram Ferrenberg-Swedsen

re-weighting

posters by Schmidt and Umeda

slide7

Equation of state at high temperatures

Karsch, Laermann, Peikert, PLB 478 (00) 447

MILC, PoS LAT2005 (2005) 156

Aoki et at, JHEP 0601 (2006) 089 (impr. flavor symmetry only)

improvement of rotational symmetry is essential at high T !

slide8

Quark number susceptibilities : d.o.fabove deconfinement

Allton et al, PRD 71 (2005) 054508 Bielefeld-Swansea

MILC

sQGP scenario Liao, Shuryak, PRD 73 (06) 014509PRD 73

Event by event fluctuations at RHIC

What are the degrees of freedom above deconfinement, quark and gluon like quasi-particles or more complex objects ?

slide9

Comparison with resonance gas

Karsch et al, EPJC 29 (2003) 549, PLB 571 (2003) 67

slide10

Free energies of static charges

Kaczmarek, Karsch, P.P., Zantow, PLB 543 (02) 41, PRD 70 (04) 074505, hep-lat/0309121

P.P, Petrov, PRD (2004) 054503

see posters by Hübner, Kaczmarek, Zatnow

slide11

Entropy and internal energies of static charges

Kaczmarek, Zatnow,

hep-lat/0506019

P.P, Petrov, PRD (2004) 054503

gauge invariant non-perturbative

estimate of the Debye mass

Hübner, Kaczmarek, Karsch, P.P,

Zatnow

Hübner, Kaczmarek, Karsch,

P.P, Zatnow

slide12

Heavy quarkonia spectral functions

MEM

Isotropic Lattice:

Anisotropic Lattice

Umeda et al, Eur. Phys. J. C39S1 (2005) 9

Datta et al, PRD 69 (2004) 094507

Asakawa, Hatsuda, PRL 92 (2004) 012001

Jakovac et al, hep-lat/060300

slide13

PS charmonia spectral functions at finite temperature

Datta et al, PRD 69 (2004) 094507

Jakovac et al, hep-lat/060300

extended

sources

Umeda et al,

EPJ C39S1 (05) 9

Asakawa, Hatsuda, PRL 92 (2004) 012001

slide14

Charmonia correlators spectral functions at T>0

comparison with models :

Mócsy, P.P, PRD 73 (06) 074007, poster

Datta et al, PRD 69 (2004) 094507

Jakovac et al, hep-lat/060300

slide15

Vector correlator and heavy quark diffusion

1S charmonium states

survies

P.P., Petrov, Velytsky, Teaney, hep-lat/0510021

Interactions

Free streaming :

Collision less Boltzmann equation

Effective Langevin theory

slide16

Transport contribution to the Euclidean correlators

P.P. and D. Teaney, PRD 73 (2006) 014508

Lattice data ( Datta et al, ) :

slide17

Summary and Conclusions

  • With the help of Teraflop computers lattice calculation of the transition
  • temperature and EoS are approaching the continuum limit,
  • but still long way to go
  • The study of Wilson line correlators can help to better understand screening
  • at high temperatures:screening entropy produced by static charge
  • Lessons from heavy quarkonia correlators :
  • 1S charmonia states ( ) survive till unexpectedly high temperatures
  • indications for melting of 1P charmonia states ( )
  • Euclidean correlators calculated on the lattice are sensitive to transport
  • contribution in the spectral functions but extracting transport coefficients is
  • very hard !