QCD thermodynamics on the lattice P é ter Petreczky Physics Department and RIKEN-B

QCD thermodynamics on the lattice P é ter Petreczky Physics Department and RIKEN-B

266 Views

Download Presentation
## QCD thermodynamics on the lattice P é ter Petreczky Physics Department and RIKEN-B

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**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**QCD Phase diagram at T>0**At which temperature does the transition occur ? What is the nature of transition ? transition is crossover !**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:**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)**chiral condensate and Polyakov**susceptibility multi-histogram Ferrenberg-Swedsen re-weighting posters by Schmidt and Umeda**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 !**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 ?**Comparison with resonance gas**Karsch et al, EPJC 29 (2003) 549, PLB 571 (2003) 67**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**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**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**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**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**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**Transport contribution to the Euclidean correlators**P.P. and D. Teaney, PRD 73 (2006) 014508 Lattice data ( Datta et al, ) :**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 !